Question

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.

–11
–2
0
2
11

Answer 1

A) –11

D) 2

Explanation:

Got it right on edge!

Answer 2

Given Equation :

`\\ {\longrightarrow \pmb{\sf {\qquad {x}^(2) + 9x - 22 = 0 \:}}} \\ \\`

To Find :

• The value of x .

Solution :

`\\ {\longrightarrow \pmb{\sf {\qquad {x}^(2) + 9x - 22 = 0 \:}}} \\ \\`

We are to find two numbers such that,

`\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad p * q = 22 \:}}} \\ \\`

The two numbers are 2 and 11, so

`\\ {\longrightarrow \pmb{\sf {\qquad {x}^(2) + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\`

Finding common factors :

`{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\`

Whether, the value of x is :

`\\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\`

Or, Whether the value of x is :

`\\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\`

So,

• Therefore the value of x is (-11) or 2.