Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.




What are the solutions to the equation?


x = –1, 6

x = –6, 1

x = –22, 27

x = –27, 22

Verified Answer :

caylus

Hello,

x²+5x-6=0
Δ=5²+4*6=49=7²
x=(-5+7)/2 or x=(-5-7)2
==>x=1 or  x=-6

Answer B

Answer:

The correct option is 2. The solutions of the equation are -6 and 1.

Step-by-step explanation:

The given equation is

\(x^2+5x-6=0\)

The quadratic formula:

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

\(x=\frac{-5\pm \sqrt{5^2-4(1)(-6)}}{2(1)}\)

\(x=\frac{-5\pm \sqrt{49}}{2}\)

\(x=\frac{-5\pm 7}{2}\)

The solution of the equations are

\(x=\frac{-5+7}{2}=1\)

\(x=\frac{-5-7}{2}=-6\)

Therefore the correct option is 2. The solutions of the equation are -6 and 1.