The real roots of a quadratic equation ax^{2} + bx + c = 0 are given by
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The value of b^{2}  4ac for equation 3x^{2}  7x  2 = 0 is
For what value(s) of k will the equation kx^{2}5x+k = 0 have a repeated root?
3 is a root of the quadratic equation 2x^{2} +px – 15 = 0. For what value of q, the equation p(x^{2} + x ) + q = 0 has equal roots?
If 1/2 is a root of the equation x^{2}+kx – (5/4) = 0, then the other root of the quadratic equation is
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Find their present ages
If the equation px^{2} – 6x – 2 = 0 has real roots then, ________
The positive value of k, for which both equations: x^{2} + kx + 64 = 0 and x^{2} – 8x + k = 0 have real roots is_______
If one root of a Quadratic equation is m +√n, then the other root is
If the value of the Discriminant function of a quadratic equation is D = 27, then its roots are
Comment on the nature of the roots of the equation 7x  3x^{2}  2 = 0
The roots of the equation x^{2} – 3x – m (m + 3) = 0, where m is a constant, are
If the equation 9x^{2} – 6x + c = 0 has equal roots then, the value of c is
If 3 is a root of both the Quadratic equations 2x^{2} + px – 15 = 0, and p(x^{2} + x) + q = 0, then the value of q if the equation containing it has equal roots is
If a,b,c are real and b^{2}4ac >0 then roots of equation are
Which of the following equations has two distinct real roots?
If the equation 2x^{2} + 2(c  20) x + (c  20) = 0 has equal roots then, the value of c is
Which of the following is a solution of the quadratic equation x^{2}  b^{2} = a (2x  a)
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124 videos477 docs105 tests
