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Without Solving the Following Quadratic Equation, Find the Value of ‘P’ for Which the Roots Are Equal. Px2 – 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.

px2 – 4x + 3 = 0.

Solution

Given the roots of the equation px2 – 4x + 3 = 0 are equal.

Here a = p, b= −4, c = 3

Since roots are equal.

b2 – 4ac = 0

16 – 4p (3) = 0

12p = 16

`p = 4/3`

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APPEARS IN

 2009-2010 (March) (with solutions)
Question 5.1 | 3.00 marks
Solution Without Solving the Following Quadratic Equation, Find the Value of ‘P’ for Which the Roots Are Equal. Px2 – 4x + 3 = 0. Concept: Quadratic Equations.
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