Which statement best describes why there is no real solution to the quadratic equation y = x^2 - 6x + 13?The value of (-6)2 - 4 • 1 • 13 is a perfect square.
The value of (-6)2 - 4 • 1 • 13 is equal to zero.
The value of (-6)2 - 4 • 1 • 13 is negative.
The value of (-6)2 - 4 • 1 • 13 is positive.

Answers

Answer 1

Answer:

Answer:

The value of (-6)2 - 4 • 1 • 13 is negative.

Step-by-step explanation:

To solve a quadratic equation we can solve by factoring, graphing or through the quadratic formula. The formula is as follows:

$x=\frac{-b+/-\sqrt{b^(2)-4ac } }{2a}$

When the square root value is less than 0, a real solution cannot be found. This means when $b^(2)-4ac<0$ . For the equation, a=1, b=-6 and c=13.

We substitute and simplify.

$b^(2)-4ac=(-6)^2-4(1)(13)=36-4(13)=36-52=-16$

This gives us an imaginary solution because the value of (-6)2 - 4 • 1 • 13 is negative.

Related Questions

Find the slope of the line on the graph
PLSSSS HELP IF YOU TRULY KNOW THISSSS
Simplify -2xy+3x-2xy+3x
Write a mixed number that is greater than 12/4 and less than 15/4
Please look at this multiple choice. thanks!!!!

The sum of the exterior angles of a pentagon equals 300? True or false

Answers

25 and then add the decimals they have to be aaddd by the two decimals

PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASEWhat value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50

Answers

Answer:

Step-by-step explanation:

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?

Answers

The directrix will pass through the negative x-axis

The given parameters are:

Vertex = (0,0)

Focus = Positive x-axis

Given that the vertex is at the origin, the directrix would be on the opposite side of the focus

This means that:

The directrix will pass through the negative x-axis i.e. quadrant II and III

Answers

2+3=5
10.00/5=2
2 per unit
2 unit:3unit
2 times 2=4
2 times 3=6

2:3

4:6

2x+y=3 -4x-4y=-8 using elimination?

Answers

2x + 1y = 3 ⇒ 8x + 4y = 12
-4x - 4y = -8 ⇒ -4x - 4y = -8
4x = 4
4 4
x = 1
2x + y = 3
2(1) + y = 3
2 + y = 3
- 2 - 2
y = 1
(x, y) = (1, 1)

Ambet has 2 quarters, 1 dime, and 3 pennies. How much money does amber have?

Answers

25+25+10+1+1+1= 63¢

2 quarters equal 50 cents
1 dime equals 10 cents
3 pennies equal 3 cents
50+10+3=63

Other Questions

What is the slope (1,7), (10,1)

you invest 4,400 in an account that pays an interest rate of 6.5 % compounded continuously ,calculate the balance of your account after 3 years .round your answer to the nearest hundreth

Shivani is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards for $7 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How many cards will that take?

A researcher is using a repeated-measures study to evaluate the difference between two treatments. If the difference between the treatments is consistent from one participant to another, then the data should produce ______. A. a small variance for the difference scores and a small standard error B. a small variance for the difference scores and a large standard error C. a large variance for the difference scores and a small standard error D. a large variance for the difference scores and a large standard error