The graph of the relation $y={{x}^{2}}+2x-k$ passes through the points (2,0). Find the value of k

Form the equation whose roots are \[x=\tfrac{1}{2}\text{ and }-\tfrac{2}{3}\]

If the sum of the roots of the equation $(x-p)(2x+1)=0$ is 1. find the value of p

The roots of a quadratic equation are$\tfrac{4}{3}$and $-\tfrac{3}{7}$. Find the equation. 

If c and k are roots of $6-x-{{x}^{2}}=0$, find c + k

Which of the following is a factor of $2-x-{{x}^{2}}$ 

Find the equation whose roots are ¾ and –4

Ada draws a graph of $y={{x}^{2}}-x-2$and $y=2x-1$on the same axes. Which of the these equations is she solving 

Expand $(2x-3y)(x-5y)$

For what value of y is the expression $\frac{6y-1}{{{y}^{2}}-y-6}$ not defined?

The roots of a quadratic equation are $-\frac{1}{2}$ and $\frac{2}{3}$ . Find the equation

A curve is such that when y = 0, x = – 2 or x = 3. Find the equation of the curve.

Solve the equation 2x² – x – 6 = 0

Solve $4{{x}^{2}}-16x+15=0$