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.
Find two consecutive odd integers, sum of whose squares is 290.
A charity trust decides to build a rectangular hall having an area of 300 m². The length of the hall is one metre more than twice its width. Find the length and breadth of the hall.
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.
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