The discriminant of the quadratic equation 2x² – 3x – 5 = 0 is :
Assertion (A) : Every quadratic equation has two real roots. Reason (R) : A quadratic polynomial can have at most two zeroes.
It is given that p²x² + (p² - q²)x - q² = 0 ; (p ≠ 0) (i) Show that the discriminant (D) of above equation is a perfect square. (ii) Find the roots of the equation.
Three consecutive positive integers are such that the sum of the square of smallest and product of other two is 67. Find the numbers, using quadratic equation.
The roots of the equation x² – 8 = 0 are
The value of k for which the roots of the quadratic equation 6x² + 4kx + k = 0 are real and equal, is
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