If½ is root of quadratic equation x²+kx-54 =0find value of k
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Ans: if 1/2 is root of the quadratic equation
so, x=1/2.
(1/2)^2+k(1/2)-54=0
1/4+k/2-54=0
1+2k-214 =0
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4
2k-213 =0
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4
2k-213=0
2k=213
k=213/2
so, x=1/2.
(1/2)^2+k(1/2)-54=0
1/4+k/2-54=0
1+2k-214 =0
-------------
4
2k-213 =0
—————
4
2k-213=0
2k=213
k=213/2
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