What is x2-4x=2x+24 equal to 0

Answers

Answer 1

Answer: make equal to zero
x^2-4x=2x+24
minus 2x both sides
x^2-4x-2x=24
minus 24
x^2-6x-24=0
comlpete the square
isolate x^2 and x term
(x^2-6x)-24=0
take 1/2 of -6 and square it (-6/2=-3 (-3)^2=9) and add to both sides inside parethaes
(x^2-6x+9)-24=9
factor perfect square
(x-3)^2-24=9
add 24 both sides
(x-3)^2=33
sqrt both sides
x-3=+/-√33
add 3 to both sides
x=3+/-√33

x=3+√33 or 3-√33

Related Questions

Your school raised 125% of its fundraising goal.The School raised $6750.What was the goal?
Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours each week?
-2,8,-32,128,-512,2048
Cedric buys a cantaloupe every week. The first time he bought a cantaloupe, it cost $2.40. He notices the price is getting less expensive, at a rate of 8% per week.Cedric sketches a graph of the situation, labeling the y-intercept and the point representing the price on Week 4.Which statements are true?Select each correct answer.The graph decreases from left to right.The graph has an x-intercept and a y-intercept.The graph increases from left to right.The point (4, 1.72) is on the graph.The point (4, 3.27) is on the graph.The graph has a y-intercept only.
A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle.

Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50.

Answers

Answer: 5

Step-by-step explanation:

From the question, Anna has an amount of $42.50 to pay for pizza and each pizza costs $8.50. She wants to buy an unknown number of pizzas, that we are representing by p.

P= Total amount Anna has/cost of each pizza

P = $42.50/$8.50

P = 5

Anna can buy 5 pizzas

Answer:

Step-by-step explanation:

In 195019501950, the per capita gross domestic product (GDP) of Australia was approximately \$1800$1800dollar sign, 1800. Each year afterwards, the per capita GDP increased by approximately 6.7\%6.7%6, point, 7, percent. Write a function that gives the approximate per capita GDP G(t)G(t)G, left parenthesis, t, right parenthesis of Australia ttt years after 195019501950. Do not enter commas in your answer.

Answers

Answer:

G(t) = 1800(1.067)^t

Step-by-step explanation:

Answer:

G(t) = 1800(1.067)^t

Step-by-step explanation:

How do you work this question out at the bottom? please help?????

Answers

Question Q1:
Surface area of the cone:
$\pi r l + \pi r^(2)=125 \pi /: \pi rl+ r^(2)=125 5l+ 5^(2)=125 5l+25=125 5l=100 l=100:5=20$
Answer: l=20 cm.

Surface area of the cone:

Answer: l=20 cm.

how do I solve p-2 over 3 = 5 over 8?

Answers

$(p-2)/(3)=(5)/(8)\ /\cdot24\n\n24\cdot(p-2)/(3)=24\cdot(5)/(8)\n\n8(p-2)=3\cdot5\n\n8p-16=15\n\n8p=15+16\n\n8p=31\ /:8\n\np=(31)/(8)\n\np=3(7)/(8)$

Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar?

Answers

The answer is 30 cubic inches.

If 5 chocolate candies are in 1 cubic inch, 150 chocolate candies will be in x cubic inches:
5 chocolate candies : 1 cubic inch = 150 chocolate candies : x cubic inches
5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30

So, if 150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.

Answer:

30 in^3

Step-by-step explanation:

Divide 159 by 5. The volume of the jar is 30 in^3

Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.

Answers

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Other Questions

The area of a rectangle is 21 m squared, and the length of the rectangle is 1 m less than twice the width. Find the dimensions of the rectangle. Help?

the sum of three consecutive integer is 88. identify the variable and write an equation the describes the situation.

How to write 9m to the fourth power without exponents

What is the value of z in the equation 3z - 7 = 14?