PLEASE ANSWER PRETTY EASY BUT NEED HELP!!! LOTS OF POINTS AND BRAINLIEST :)

SHOW YOUR WORK PLEASE!!

For what value of x:

is the square of the binomial 2x+10 four times greater than the square of the binomial x–5?

Respuesta :

Answer:

0

Step-by-step explanation:

Make and equation and solve for x.

(2x+10)^2 = 4(x-5)^2 Now the easiest thing to do is use the formula for squared binomial, (a+b)^2 = a^2 + 2ab + b^2.

4x^2 + 40x + 100 = 4(x^2 - 10x + 25)

4x^2 + 40x + 100 = 4x^2 - 40x + 100

From hear you can cancel out similar terms

40x + 100 = - 40x + 100

40x = -40x

add 40x to both sides

80x = 0

x = 0

The only solution to this is 0.