Question

For what value of p the quadratic equation 4x2+px+3=0 has equal roots

Answer 1

Roots are equal then discriminant =0
Compare given equation from ax2 + bx+c=0
a=4 b= p c=3
D= b2 - 4 ac
D= p2 - 4*4*3
0=p2-48
P=under root 48
P= 4 under root 3

Answer 2

Answer:

Value of p = -4√3 Or p=4√3

Explanation:

Given quadratic equation

4x²+px+3=0

Compare this with ax²+bx+c=0,

we get

a = 4 , b = p , c = 3

Discreminant (D) = 0

[ given equal roots ]

b²-4ac = 0

=> p²-4×4×3=0

=> p²=4×4×3

=> p = ±√(4×4×3)

=> p = ± 4√3

Therefore,

Value of p = -4√3 Or p = 4√3

••••