CBSE 10th Class past year question paper
Year 2019
SET 1, Code Number 30/2/1
Question number – 22
Deepak BoraNewbie
Write all the values of p for which the quadratic equation x² + px + 16 = 0 has equal roots. Find the roots of the equation so obtained.
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have equal roots if
D = p² – 4(16)(1) = 0
p² = 64
p = ±8
∴ x² ± 8x + 16 = 0
(x ± 4)² = 0
x ± 4 = 0
∴ Roots are x = –4 and x = 4