Question

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

Answer 1

2x²-2√5px+15=0

since zeros are real

therefore, D≥o

b²-4ac≥0

(-2√5p)²-4×2×15≥0

20p²-120≥0

20p²≥120

p²≥6

p≥±√6