Question

X^2+15x=-45 solve by factoring

Answer 1

x = -
`(15-3√(5) )/(2)`; -
`(15+3√(5) )/(2)`

Explanation:

Answer 2

1 Move all terms to one side.

{x}^{2}+15x+45=0

x

2

+15x+45=0

2 Use the Quadratic Formula.

x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}

x=

2

−15+3

5

,

2

−15−3

5

3 Simplify solutions.

x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}

x=−

2

3(5−

5

)

,−

2

3(5+

5

)