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