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Question

In order to solve the quadratic equation 4x2-3x-5=0 by method of completing the square, without making coefficient of x2 unity, we must add and subtract the number _________.

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Solution

Let 4x2-3x-5=0 be a quadratic equation.

4x2-3x-5=02x2-434x-5=02x2-22x34-5=0To make it a complete square we must add and subtract 3422x2-22x34+342-342-5=02x2-22x34+342-342-5=02x-342-342-5=0

Hence, in order to solve the quadratic equation 4x2-3x-5=0 by method of completing the square, without making coefficient of x2 unity, we must add and subtract the number 316.

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