Find the value(s) of p for which the quadratic equation (2p + 1)x² - (7p + 2)x + (7p - 3) = 0 has equal roots. Also find these roots.
Quadratic Equations
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Question

Find the value(s) of p for which the quadratic equation (2p + 1)x² - (7p + 2)x + (7p - 3) = 0 has equal roots. Also find these roots.

KnowledgeBoat · Accepted Answer

The given equation is (2p + 1)x² - (7P + 2)x + (7p - 3) = 0. Comparing with ax² + bx + c = we obtain, a = 2p + 1 , b = -(7p + 2) , c = 7p - 3 For equal roots, discriminant = 0 When p = the equation becomes so the roots are : When p = 4 the equation becomes so the roots are : (Ans.) 4, ; when p = , roots are 7, 7 and when p = 4, roots are

Mathematics

Find the value(s) of p for which the quadratic equation (2p + 1)x² - (7p + 2)x + (7p - 3) = 0 has equal roots. Also find these roots.

Quadratic Equations

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Mathematics

Find the value(s) of p for which the quadratic equation (2p + 1)x2 - (7p + 2)x + (7p - 3) = 0 has equal roots. Also find these roots.

Quadratic Equations

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Find the value(s) of m for which each of the following quadratic equation has real and equal roots :(i) (3m + 1)x2 + 2(m + 1)x + m = 0(ii) x2 + 2(m - 1)x + (m + 5) = 0

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