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Question

If α,β are the roots of x2+7x+5=0, then the equation whose roots are α1,β1 is

A
x2+5x1=0
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B
x2+5x+1=0
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C
x2+7x+13=0
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D
x2+9x+13=0
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Solution

The correct option is D x2+9x+13=0
f(x)=x2+7x+5=0roots are α,β
The equation whose roots are α1,β1 is,
f(x+1)=0
(x+1)2+7(x+1)+5=0x2+2x+1+7x+7+5=0x2+9x+13=0

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