Let us calculate and write the value of k for which 2/3 will be a root the quadratic equation 7x^2+kx-3=0.
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∴ for k = ±216 given equation has equal roots.
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Answer:
x=2/3
7(2/3)^2+(2/3)*k -3=0
7*(4/9) +(2k/3) -3 =0
28+6k-27=0. [taking LCM =9]
1+6k=0
6k= -1
k= -1/6
Hope it helps
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