Question

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

Answer 1

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 2

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.