If one of zero of polynomial Xpower 2+ kx-4 is 2 then k =
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If one of zero of polynomial Xpower 2+ kx-4 is 2 then k =
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Answer:
Given: polynomial x
2
−kx+4=0, has equal real roots
To find the value of k
sol: A quadratic equation has equal real roots if the discriminant b
2
−4ac=0
x
2
−kx+4=0 is of form ax
2
+bx+c=0
∴a=1,b=−k,c=4
Hence th discriminant is
(−k)
2
−4(1)(4)=0
⟹k
2
−16=0
⟹k
2
=16
Therefore, k=±4
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