Question

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

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

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

Explanation:

The given equation is

`x^2+5x-6=0`

The quadratic formula:

`x=(-b\pm √(b^2-4ac))/(2a)`

`x=(-5\pm √(5^2-4(1)(-6)))/(2(1))`

`x=(-5\pm √(49))/(2)`

`x=(-5\pm 7)/(2)`

The solution of the equations are

`x=(-5+7)/(2)=1`

`x=(-5-7)/(2)=-6`

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