Question

Find the value of p for which the equation px2 + 3x + 2 = 0 has real roots

Answer 1

Answer:

see the attachment for answet and mark me brainllist

Answer 2

Answer:

The given quadratic equation is,

2x

2

+3x−p=0

Here,

a=2, b=3, c=−p

If the equation is supposed to have real roots, then D≥0. Therefore,

b

2

−4ac≥0

9−4×2×(−p)≥0

9+8p≥0

p≤

8

9

Thus, the values of p for which the equation has real roots are (−∞,

8

9

].