Question

Solve for x in the equation x^2 + 20x + 100 =36.
x = –16 or x = –4
x = –10
x = –8
x = 4 or x = 16

Answer 1

Answer:

x = -16 or x = -4 ........

Answer 2

Answer:

The value of x for the equation $x^{2}+20 x+100=36$ is x=-16 or x=-4

Step by Step Explanation:

Given equation $x^{2}+20 x+100=36$

To find:

Value of x for the above equation

Solution:

We know that the given equation is $x^{2}+20 x+100=36$

From the options we shall evaluate the value of x by substituting in the above equation.

Option A: x=-16 or x=-4

Substitute these value of x in the given equation $x^{2}+20 x+100=36$ we get

$(-16)^{2}+20(-16)+100=36$

256-320+100=36

-64+100=36

36=36

Thus option A gives the correct value of x to the above equation.

Result:

Value of x=-16 or x=-4 is the correct answer for the above given equation.