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Question

If α,β are the roots of 2x2+3x+4=0, then the equation whose roots are 2α,2β is

A
4x2+3x+4=0
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B
x2+3x+8=0
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C
x2+3x+4=0
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D
4x2+3x+2=0
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Solution

The correct option is B x2+3x+8=0
f(x)=2x2+3x+4f(x)=0α,β are the roots
The equation whose roots are 2α,2β is,
f(x2)=0
2(x2)2+3(x2)+4=0x2+3x+8=0

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