Question

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Find the values of p for which the quadratic equation 4x2 + px + 3 = 0 has equal roots



➳ REQUIRED GOOD ANSWER​

Answer 1

Given that,

4x² + px + 3 = 0

• A quadratic equation has equal roots if its discriminant is zero.

According to the formula,

b² − 4ac = 0

[a = 4; b = p; c = 3]

p² − 4 × 4 × 3 = 0

p² = 48

p = √48

Hence, p = ±4√3

Answer 2

Answer:

b^2-4ac=0

p^2-4(4)(3)=0

p^2-48=0

p^2=48

p=√48

p=4√3