Question

if the quadratic equation p x square minus 2 root 5 x + 15 is equal to zero has two equal real roots then find the value of p​

Answer 1

$\huge{\mathfrak{\blue{\underline{Answer}}}}$

For equal and real roots , the condition is

$b {}^{2} - 4ac = 0$

Putting the values we get

$( - 2 \sqrt{5} ) {}^{2} - 4(p)(15) = 0 \\ 20 - 60 p = 0 \\ 60p = 20 \\ p = \frac{20}{60}$

$\huge{\mathfrak{\blue{\underline{p=1/3}}}}$