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Question

There are 2 quadratic equations, a2 –a +p=0 and a2 – a + 3p=0 (p≠0). For what value of p will one root of the second equation = double the root of the first equation?

A
2
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B
3
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C
-2
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D
–3
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E
none of these
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Solution

The correct option is C -2

Option (c)

Go from answer options

1) Take p=2

a2 –a +2=0 and a2 – a + 6=0

Roots are = 1+(1+24)2 and (124)2

Hence, this option is ruled out

Take p = -2

a2 –a -2=0 and a2 – a -6=0

Roots of 1st equation = 2,-1 and roots of second equation = 3, -2


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