Question

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients
$25x^2+5x$

Answer 1

$25x^2+5x=0$

Here $a=5,b=1,c=0$

Roots are $\alpha ,\beta as0,\frac{-1}{5}$

Now, we know $\alpha +\beta =0+\left(\frac{-1}{5}\right)=\frac{-1}{5}=\frac{-b}{a}$

$\alpha \cdot \beta =0\cdot (-\frac{1}{5})=\frac{0}{5}=\frac{c}{a}$