Question

If a and b are the zeroes of a polynomial $p{x}^2$ - 5x + q, then the values of p and q, if a + b = ab - 10, are

• A. $5and\frac{1}{2}$
• B. 5 and 2
• C. $\frac{1}{2}and5$
• D. 10 and 1

Answer 1

The correct option is C

$\frac{1}{2}and5$

By relationship of zeroes and coefficients of polynomial, we have
$a+b=\frac{5}{p}andab=\frac{q}{p}$
It is given that a + b = ab - 10
$\Rightarrow 10=\frac{5}{p}and10=\frac{q}{\frac{1}{2}}\Rightarrow p=\frac{1}{2}andq=5\therefore p=\frac{1}{2}andq=5$