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CBSE Class 11-science Answered

For what value of k will be the roots of the expression(4-k)x squared+2(k+2)x+8k+1 become a perfect square
Asked by abishekkombiyil | 09 Jun, 2019, 08:33: AM
answered-by-expert Expert Answer
 
(4 - k)x2 + 2(k + 2)x + 8k + 1
Comparing with ax2 + bx + c 
a = 4 - k, b = 2(k + 2) and c = 8k + 1
The given quadratic is a perfect square if it has two real and equal roots. To have two real and equal roots the discriminant should be zero.
b2 - 4ac = 0
[2(k + 2)]2 - 4 × (4 - k) × (8k + 1) = 0
Simplifying this we get k = 0 or 3.
Answered by Sneha shidid | 10 Jun, 2019, 09:46: AM

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