Question

Solve x2 − 10x = −21. (6 points)

x = 7 and x = 3
x = −7 and x = 3
x = −7 and x = −3
x = 7 and x = −3

Answer 1

x= 7,3

Explanation:

-Let's solve your equation step-by-step.

x^2−10x=−21

-Step 1: Subtract -21 from both sides.

x^2−10x−(−21)=−21−(−21)

x^2−10x+21=0

-Step 2: Factor left side of the equation

(x−3)(x−7)=0

-Step 3: Set factors equal to 0.

x−3=0 or x−7=0

= =

Answer 2

The CORRECT answer is::

x = -3 and x = -7

WORK::

Move ALL terms to the left side and set equal to zero. Then set each factor equal to zero.