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Nature of Roots

If one root t...

Question

If one root the equation 2x² + kx + 4 = 0 is 2, then the other root is

(a) 6
(b) −6
(c) −1
(d) 1

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Solution

Let be the roots of quadratic equation in such a way that

Here,

Then , according to question sum of the roots

And the product of the roots

Putting the value of in above

Putting the value of k in

Therefore, value of other root be

Thus, the correct answer is

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[2 MARKS]

If 1/2 is a root of the equation x²+kx - 5/4 =0, then the other

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