List of top Quantitative Aptitude Questions on Quadratic Equation

Let \(x, y, z\) be real numbers such that \(4(x^2 + y^2 + z^2) = a\) and \(4(x - y - z) = 3 + a\), then find the value of \(a\).

The value of \(\frac{1}{x+1}+\frac{2x}{1-x^2}+\frac{x}{x-1}\) is :

Suppose one of the roots of the equation \(a x^2 - b x + c = 0 \) is \( 2 + \sqrt{3}\), where a, b and c are rational numbers and \(a ≠ 0\). If \(b = c^3\) then |a| equals

Let a, b, x, y be real numbers such that \(a^2+b^2=25,x^2+y^2=169,\) and \(ax+by=65.\) If \(k= ay-bx,\) then

If x is a real number, then \(\sqrt{log_e\frac{4x-x^2}{3}}\)  is a real number if and only if

The quadratic equation \(x^2+bx+c=0\) has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of \(b^2+c\ ?\)

Given quadratic equation is \(x^2-|x|-30=0 . \)Then which of the following statements is/are incorrect?

Let f(x) = ax² + bx + c, where a, b, and c are real numbers with a ≠ 0. If the graph of f(x) intersects the x-axis at two distinct points with x-coordinates p and q (p < q), then the equation ax² + bx + c + 1 = 0 has:

Given quadratic equation is x² - |x|-30 = 0. Then which of the following statements is/are incorrect?

If p, q, r and s are four positive integers such that pqrs = 1, what is the minimum value of (2 + p)(3 + q)(4 + r)(5 + s)?

What is the number of distinct terms in the expansion of $(x + y + z )25$ ?

Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the orginal quadratic equation?