Question

Consider the quadratic equation y^2 - y = 6. What is the error with the solution below?

y²-y=6
y(y-1)=6
y=6 or y-1=6
y=6 or y-1=6
y=6 or y=7
(6,7)

A. The solution is correct
B. In y²-y=6, y² should have been factored out instead of y.
C. In y²-y=6, y², 6 should have been subtracted on both sides first.
D. Instead of y=6, it should have been y=-6​

Answer 1

C. In y²-y=6, y², 6 should have been subtracted on both sides first.

Explanation:

Hi there!

To solve the quadratic equation, one side must first equate to zero. This way, we could apply the zero product property.

Below is the correct solution:

y²-y=6

y²-y-6=0

⇒ Factor

(y-3)(y+2)=0

⇒ Apply the zero-product property

y= -2,3

I hope this helps!