Find the value of y for which the expression $\frac{{{y}^{2}}-9y+18}{{{y}^{2}}+4y-21}$is undefined.

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

If ${{x}^{2}}+kx+\tfrac{16}{9}$ is a perfect square. Find the value of x

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

Find the smaller value of x that satisfies the equation ${{x}^{2}}+7x+10=0$

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

Given that $P={{x}^{2}}+4x+2,\text{ }Q=2x-1\text{ and }Q-P=2$ find x

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

Find the values of k in the equation $6{{k}^{2}}=5k+6$