Question

Solve. 0 = x² + 10x + 16
Enter your answers in the boxes.
The solutions are___and___.

Answer 1

pretty sure the answers are
x₁ = -2
x₂ = -8

Answer 2

The solutions are
`-2` and
`-8`

Explanation:

we know that

The formula to solve a quadratic equation of the form
`ax^(2) +bx+c=0` is equal to

`x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}`

in this problem we have

`x^(2) +10x+16=0`

so

`a=1\\b=10\\c=16`

substitute in the formula

`x=\frac{-10(+/-)\sqrt{10^(2)-4(1)(16)}} {2(1)}`

`x=(-10(+/-)√(36))/(2)`

`x=(-10(+/-)6)/(2)`

`x=(-10(+)6)/(2)=-2`

`x=(-10(-)6)/(2)=-8`

The solutions are
`-2` and
`-8`