List of top Mathematics Questions on Quadratic Equations asked in VITEEE

Solve for \( x \) in the equation \( \frac{1}{x} + \frac{1}{x+2} = \frac{5}{6} \).
The ratio of the sum of two numbers to their difference is 5:1. If the sum of the numbers is 18, find the numbers.
Find the solution of the quadratic equation \( 2x^2 - 3x - 5 = 0 \).
The solution set of the inequality \(|x-2|+|x+3|\ge7\) is:
The number of solutions of the equation \(2|x|+|x-2|=4\) is:
If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:
A man is 4 times as old as his son. After 5 years, he will be 3 times as old as his son. The present age of the son is:
If the roots of the quadratic equation $$ (a^2 + b^2) \, x^2 - 2 \, (bc + ad) \, x + (c^2 + d^2) = 0 $$ are equal, then: 
\( \sin\left( \sin 5 \right) = x^2 - 4x \) holds if
If $z=\frac{7-i}{3-4i} \, then\, z^{14}=$
The value of x obtained from the equation $\begin{vmatrix}x+\alpha&\beta&\gamma\\ \gamma&x+\beta&\alpha\\ \alpha&\beta&x+\gamma\end{vmatrix}=0$ will be
The correct result of the equation \( 3x^2 + 2x + 7y^2 - 14y + 4 \) is
If \( x^2 + 2x - 5 = 0 \), then the values of \( x \) are
\( \theta \) and \( \gamma \) are the roots of the equation \( x^2 - \alpha x + \beta = 0 \) and if \( \theta + \gamma = \alpha \), then what is the value of \( \theta^2 + \gamma^2 \)?
If $\alpha$ and $\beta$ are the roots of $x^{2}-ax+b=0$ and if $\alpha^{n}+\beta^{n}=V_{_n},$ then
The number of real solutions of the equation \[ \left( \frac{9}{10} \right) = -3 + x - x^2 \] is:
If one root is square of the other root of the equation \( x^2 + px + q = 0 \), then the relations between \( p \) and \( q \) is:
If one root is square of the other root of the equation $x^2 + px + q = 0$, then the relations between p and q is
If \( \alpha, \beta, \gamma \) are the roots of \( x^3 + ax^2 + b = 0 \), then the value of \[ \frac{\alpha \beta}{\gamma}, \quad \frac{\beta \gamma}{\alpha}, \quad \frac{\gamma \alpha}{\beta} \]
If the roots of the equation \( x^2 + ax + b = 0 \) are \( c \) and \( d \), then one of the roots of the equation \[ x^2 + (2c + a)x + c^2 + ac + b = 0 \] is:
If \( x^2 + 2x + 7<6 \), \( x \in \mathbb{R} \), then:
If $\frac{x^{2}+2x+7}{2x+3} < 6, x\,\in\,R, $ then
If the roots of the equation $x^2 + ax + b = 0$ are $c$ and $d$, then one of the roots of the equation $x^{2}+\left(2c+a\right)x+c^{2}+ac+b=0$ is
For what values of \(m\) can the expression
\[ 2x^2+mxy+3y^2-5y-2 \] be expressed as the product of two linear factors?
For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors