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Quantitative Aptitude

Quadratic Equations

Let p, q be t...

Question

Let p, q be the roots of the equation $x^{2} - 3 x + 2 = 0.$ The quadratic equation having roots as $p + 2$ and $q + 2$ is:

A

x² – x = 0

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B

x² – 7x + 12 = 0

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C

x² – 7x – 12 = 0

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D

x² + 7x + 12 = 0

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Solution

The correct option is B x² – 7x + 12 = 0
Substitute x by (x-2)
The equation becomes: $(x - 2)^{2} - 3 (x - 2) + 2 = 0, x^{2} - 7 x + 12 = 0.$

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