MATHEMATICS HIGH SCHOOL

Solve x2 − 8x + 5 = 0 using the completing-the-square method.x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Answers

Answer 1

Answer:

Answer:

Option 2

Step-by-step explanation:

We have been given a quadratic equation $x^2-8x+5=0$

First step in completing method square is to make the coefiicient of $x^2$ 1

Since, in given quadratic equation coefficient of $x^2$ is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.

Here, half of coefficient of x that is 8 would be 4 so we will add and subtract $4^2$ in given quadratic equation we will get

$x^2-8x+4^2-4^2+5=0$

Now, we will proceed to the third step that is making the whole square formula according to the terms

Here, we can see that we are geeting the formula of $(x-4)^2$ from $x^2-8x+4^2$

The equation will become $(x-4)^2-4^2+5=0$

After simplifying we will get $(x-4)^2-16+5=0$

After further simplification we will get $(x-4)^2-11=0$

After more simplification we will get $(x-4)=\pm√(11)$

Hence, we will get the value of x which is $x=4\pm√(11)$

Answer 2

Answer:

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Option B is the correct answer.

We have,

To solve the quadratic equation x² - 8x + 5 = 0 using the

completing-the-square method, follow these steps:

Move the constant term (5) to the other side of the equation:

x² - 8x = -5

Take half of the coefficient of the x-term (-8) and square it:

(-8/2)² = 16

Add the squared value to both sides of the equation:

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

Rewrite the left side of the equation as a perfect square:

(x - 4)² = 11

Take the square root of both sides, considering both positive and negative square roots:

x - 4 = ±√11

Solve for x by adding 4 to both sides:

x = 4 ± √11

Therefore,

The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11

Learn more about equations here:

brainly.com/question/17194269

#SPJ6

Related Questions

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?A)Price of a shirt is $9, and price of a cap is $2. B) Price of a shirt is $10, and price of a cap is $1. C) Price of a shirt is $8, and price of a cap is $3. D) Price of a shirt is $7, and price of a cap is $4.
don completes the square for the function y=x^2+6x+3. which of the following function reveals the vertex of the parabola?
1. How can you use an equation to make a prediction from a pattern? 2. Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.
Which of the following is the same as 2.3×10^3
How many terms are there in the expression 2x - 5y + 3 + x?

24,25,26 is a pythagorean triplet. True or fals

Answers

Step-by-step explanation:

for this the Pythagoras equation must be true :

c² = a² + b²

c is the Hypotenuse the dude opposite of the right angle in a right-angled triangle.

as such it had to be the longest side.

so, c = 26

and we get

26² = 24² + 25²

676 = 576 + 625 = 1201

wrong, 1201 is not equal to 676, so, 24, 25, 26 are NOT a pythagorean triplet.

theinitialstatementisfalse.

Which number sentence has a difference of 5?8 - (-3)
-3 - 8
-3 - (-8)
3 - (-8)

Answers

-3 - (-8)
-3 + 8
= 5

So C)

Your answer is -3 -(-8)

Hope this helps.

What is the awnser to r(−2)= ?

Answers

Answer:

r=2 i think

Step-by-step explanation:

Answer:

Hi there!

If there was supposed to be an attached problem to fill -2 into, PLEASE ATTACH IT!

If not, x= -2 in r(-2)

Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field?a. 40 minutes
b. 80 minutes
c. 200 minutes
d. 240 minutes HELP?!

Answers

Answer:

If they work together, they take 48 minutes to line the football field.

Step-by-step explanation:

Given: Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes.

To find : If they work together, how many minutes does it take them to line a football field?

Solution :

If they work together,

Let the number of minutes(x) they take to line the foot ball field.

According to question,

$(1)/(x)=(1)/(120)+(1)/(80)$

$(1)/(x)=(80+120)/(120* 80)$

$(1)/(x)=(200)/(120* 80)$

Cross multiply,

$x=(120* 80)/(200)$

$x=12* 4$

$x=48$

Therefore, If they work together, they take 48 minutes to line the football field.

Answer: If they work together, they can line a football field in 48 minutes.

Step-by-step explanation: Given that Reggie can line a football field in 120 minutes and Rosalinda can line a football field in 80 minutes.

We are to find the number of minutes does it take them to line a football field if they work together.

We have

Time taken by Reggie to line a football field = 120 minutes.

So, in 1 minute, Reggie can line $(1)/(120)$ part of the field.

Time taken by Rosalinda to line a football field = 80 minutes.

So, in 1 minute, Rosalinda can line $(1)/(80)$ part of the field.

Therefore, if they work together, the portion of the football field that they can lie in 1 minute is given by

$(1)/(120)+(1)/(80)\n\n\n=(2+3)/(240)\n\n\n=(5)/(240)\n\n\n=(1)/(48)$

Thus, if they work together, they can line a football field in 48 minutes.

HELP PLS PLS ASAP!!
Which relation is a function?

Answers

Answer:

The one on the bottom right corner

Step-by-step explanation:

The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.

Answer: Choice D in the bottom right corner

Reason

If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.

This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.

Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.

What is the solution to the inequality?3x – 11 < –2

A.x < 3

B.x > –3

C.x < –3

D.x > 3