Ravi Kant Kumar
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Find the value of p for which the quadratic equation (p+1)x^2 – 6(p+1)x + 3(p+9) = 0, p ≠ -1 has equal roots. Hence, find the roots of the equation.
If 1 is a root of the quadratic equation 3x^2 + ax – 2 = 0 and the quadratic equation a(x^2 + 6x) – b = 0 has equal roots, find the value of b.
If 2 is a root of the quadratic equation 3x^2 + px – 8 = 0 and the quadratic equation 4x^2 – 2px + k = 0 has equal roots, find the value of k.
If -5 is a root of the quadratic equation 2x^2 + px – 15 = 0 and the quadratic equation p(x^2 + x) + k = 0 has equal roots, find the value of k.
Find the values of p for which the quadratic equation (2p+1)x^2 – (7p+2)x + (7p-3) = 0 has equal roots. Also, find these roots
Write all the values of k for which the quadratic equation x^2 + kx + 16 = 0 has equal roots. Find the roots of the equation so obtained.
Find the value of k for which the quadratic equation (3k + 1)x^2 + 2(k + 1)x + 1 = 0 has equal roots. Also, find the roots.
Find the least positive value of k for which the equation x^2 + kx + 4 = 0 has equal roots.
For what value of k, (4 – k)x^2 + (2k + 4)x + (8k + 1) = 0 is a perfect square.
Find the values of k for which the given quadratic equation has real and distinct roots : kx^2 + 6x + 1 = 0
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