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Question

Solution of the equation ±5(4x2)7=10 is/are:

A
x=3
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B
x=4
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C
x=4
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D
x=3
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Solution

The correct option is B x=4
Given, the equation is ±5(4x2)7=10.

Step 1: Multiply both the sides by 7
±5(4x2)7×7=10×7
±5(4x2)=70

Case 1: Taking positive sign
5(4x2)=70
Simplify the left hand side of equation, we get
5×4x5×2=7020x10=70
Add 10 to both sides
20x10+10=70+1020x=80
Divide both the sides by 20
20x20=8020x=20×420
x=4

Case 2: Taking negative sign
5(4x2)=70
Simplify the left hand side of equation, we get
5×4x(5×2)=7020x(10)=7020x+10=70
Subtract 10 from both sides
20x+1010=701020x=60
Divide both the sides by -20
20x20=6020x=3

Hence, solution of the equation ±5(4x2)7=10 are x=4 and x=3.

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