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

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.

Answer 2

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