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# Find the Value of P, If the Following Quadratic Equation Has Equal Roots : 4x2 – (P – 2)X + 1 = 0 - ICSE Class 10 - Mathematics

#### Question

Find the value of p, if the following quadratic equation has equal roots: 4x2 – (p – 2)x + 1 = 0

#### Solution

4x^2 - (p - 2)x + 1 = 0

Here a = 4, b = -(p - 2) anc c = 1

Given : equation has equal roots

Then D = 0'

=> b^2 -  4ac = 0

=> [-(p - 2)]^2  -4(4)(1)= 0

=> p^2 +  4 - 4p - 16 = 0

=> p^2 + 4p - 4p - 12 = 0

=> p^2 - 4p - 12 = 0

=> p^2 - 6p + 2p - 12 = 0

=> p(p - 6)(p + 2) = 0

then p - 6 = 0 or p + 2 = 0

=> p = 6 or p = -2

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Solution Find the Value of P, If the Following Quadratic Equation Has Equal Roots : 4x2 – (P – 2)X + 1 = 0 Concept: Quadratic Equations.
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