What will be the roots of
9x^2-24x+k=0
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The given quadratic equation is 9x
2
−24x+k=0, comparing it with ax
2
+bx+c=0 we get,
⇒ a=9,b=−24,c=k
⇒ It is given that roots are real and equal.
∴ b
2
−4ac=0
⇒ (−24)
2
−4(9)(k)=0
⇒ 576−36k=0
⇒ 36k=576
∴ k=16
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