Q5 of 47 Page 1

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

Given, 4x2 + px + 3 = 0


Here, a = 4, b = p, c = 3


 


For the quadratic equation to have equal roots, the value of discriminant must be zero i.e.,


 


⸫ D = b2 – 4ac


 


⇒ D = p2 – 4(4)(3) = 0


 


⇒ p2 – 48 = 0


 


⇒ p2 = 48


 


⸫ p = √48 = ±4√3


 

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