Question

(6) Solve the equation :
(x-2)(x+3)(x - 3)(x+4)=40
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Answer 1

Step-by-step explanation:

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

(x−2)(x+3)(x−3)(x+4)=40

x4+2x3−17x2−18x+72=40

Step 1: Subtract 40 from both sides.

x4+2x3−17x2−18x+72−40=40−40

x4+2x3−17x2−18x+32=0

Step 2: Factor left side of equation.

(x−1)(x+2)(x2+x−16)=0

Step 3: Set factors equal to 0.

x−1=0 or x+2=0 or x2+x−16=0

x=1 or x=−2 or x=3.5311288741492746 or x=−4.531128874149275

Answer:

x=1 or x=−2 or x=3.5311288741492746 or x=−4.531128874149275