the value of k for which the roots of the quadratic equations 9x2-kx+16=0
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Quadratic equations have equal roots when D = b^{2}b
2
- 4*a*c = 0
here a= 9, b=8k and c = 16
0 = (8k)^{2}(8k)
2
- 4*9*16
⇒ 0 = 64k^{2}k
2
- 576
⇒ 0 = [tex]k^{2} = 9
⇒ k = 3
Therefore for k = 3 the quadratic equation has equal roots.
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you can take the value of this eq.s roots in the place of x
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