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If the roots of equation ax² + bx + c = 0, a ≠ 0 are real and equal, then which of the following relation is true ?
Which of the following quadratic equations has real and distinct roots ?
There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from points A and B respectively.
If x² + bx + b = 0 has two real and distinct roots, then the value of b can be
A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number.
Find the value(s) of p for which the quadratic equation given as (p + 4) x² − (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained.
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