1.

The equation 12x2 + 4kx + 3 = 0 has real and equal roots, find value of k.

Answer»

The given quadratic equation is 12x2 + 4kx + 3 = 0, comparing it with ax2 + bx + c = 0.

⇒  We get, a = 12,b = 4k and c = 3

⇒  It is given that roots are real and equal.

∴  b2−4ac = 0

⇒  (4k)2−4(12)(3)=0

⇒  16k2−144 = 0

⇒  16k2 = 144

⇒  k2= 144/16​

⇒  k2 = 9

∴   k = ±3



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