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Question

If 4x24ax+(a2b2)=0 and (a,bR), then vaue of x is equal to

A
a+b2,ab2
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B
2
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C
(a+b)2
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D
None of these
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Solution

The correct option is A a+b2,ab2
Given equation is:
4x24ax+(a2b2)=0
4x2{2(a+b)x+2(ab)x}+a2b2=0
{4x22(a+b)x}{2(ab)x(a2b2)}=0
2x{2x(a+b)}{2x(ab)}=0
2x(a+b)=0 or 2x(ab)=0
x=a+b2 or x=ab2
Hence, x=a+b2,ab2 are required solutions.

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