Question

While attempting to solve the equation , Hazel made an error. Her work is shown to the right. Explain the mistake, and provide the correct answer.

Answer 1

Explanation:

X=-11 because,

Step 1: Simplify both sides of the equation.

x

2

+

4

x

=

77

Step 2: Subtract 77 from both sides.

x

2

+

4

x

−

77

=

77

−

77

x

2

+

4

x

−

77

=

0

Step 3: Factor left side of equation.

(

x

−

7

)

(

x

+

11

)

=