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Without Solving the Following Quadratic Equation Find the Value of P for Which the Roots Are Equal Px^2 - 4x + 3 = 0 - ICSE Class 10 - Mathematics

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Question

Without solving the following quadratic equation Find the value of p for which the roots are equal

`px^2 - 4x + 3 = 0`

Solution

`px^2 - 4x + 3 = 0`

Here a = p, b = -4 and c = 3

Given equation has equal roots then D = 0

`=> b^2 - 4ac = 0`

`=> [-4]^2 - 4(p)(3) = 0`

`=> 16 - 12p = 0`

`=> -12p = -16`

`=> p = (-16)/(-12) = 4/3`

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Solution Without Solving the Following Quadratic Equation Find the Value of P for Which the Roots Are Equal Px^2 - 4x + 3 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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