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If (−4) is a root of the quadratic equation x− px−4 = 0 and the quadratic equation x− px + k = 0 has equal roots, find the value of k.
  • a)
    9/4
  • b)
    1
  • c)
    2.5
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If(−4)is a root of the quadratic equationx2− px−4 = ...
Since, (-4) is a root of x2− px −4 = 0. Sine,both the roots of this equation are equal. ∴ Sum of the roots (α+α) 2α = −3 ⇒  ∴ Product of t roots (α⋅α) = α=  
 
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If(−4)is a root of the quadratic equationx2− px−4 = 0and the quadratic equationx2− px + k = 0has equal roots, find the value of k.a)9/4b)1c)2.5d)3Correct answer is option 'A'. Can you explain this answer?
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