Question

If (x + 1)(x-3) = 5, then which of the following statements is true?

x+1=5 or X-3 = 5

x-4 = 0 or x + 2 = 0

x + 1 = 0 or X-3= 0

Answer 1

x=−2 or x=4

Explanation:

Step 1: Simplify both sides of the equation.

x2−2x−3=5

Step 2: Subtract 5 from both sides.

x2−2x−3−5=5−5

x2−2x−8=0

Step 3: Factor left side of equation.

(x+2)(x−4)=0

Step 4: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4