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Question

Which constant should be added and subtracted to solve the quadratic equation 4x23x5=0 by the method of completing the square ?

A
916
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B
316
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C
34
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D
316
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Solution

The correct option is B 316
4x23x5=0

(2x)2322x5=0

(2x)22342x+(34)2(34)25=0

(2x34)23165=0 ...{ We know, a22ab+b2=(ab)2}

Hence, we had to add 316 to complete the square.

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