Question

Find the zeroes of the following polynomial :
5√5x^2+30x+8√5

Answer 1

Step-by-step explanation:

$5\sqrt{5} x^2+30x+8\sqrt{5}$

Rationalizing Highest Degree Term → Dividing All Terms By $\sqrt{5}$

$5x^2+6\sqrt{5} x+8$

Now apply quadratic formula.

$x=\frac{-3\sqrt{5} \pm\sqrt{45-40} }{5} =\frac{-3\sqrt{5} \pm\sqrt{5} }{5}$

$x=-\frac{2\sqrt{5} }{5}$ or $x=-\frac{4\sqrt{5} }{5}$

Brainliest if it helped!