Question

Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1

Answer 1

Answer:

x=−4.350480,−1.669843,7.020324

Step-by-step explanation:

Step 1: Multiply both sides by -x+5.

−x3+x2+34x+56=−x+5

−x3+x2+34x+56−(−x+5)=−x+5−(−x+5)(Subtract -x+5 from both sides)

−x3+x2+35x+51=0

(Use cubic formula)

x=−4.35048,−1.669844,7.020324

Check answers. (Plug them in to make sure they work.)

x=7.020324(Works in original equation)

x=−4.35048(Works in original equation)

x=−1.669844(Works in original equation)