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If x = -2 is a root of the equation 3x2 +7x + p = 0,find the value of k so that the roots of the equation x2 + k(4x+k-1) + p = 0 are equal. |
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Answer» Here, x = – 2 is the root of the equation. 3x2 +7x + p = 0 ⇒ 3(– 2)2 + 7(– 2) + p = 0 ⇒ p = 2 Root of the equation x2 + 4kx + k2 – k + 2 = 0 are equal. b2 – 4ac = 0 ⇒ 16k2 – 4(k2 – k + 2) = 0 ⇒ 3k2 + k – 2 = 0 ⇒ (3k – 2)(k + 1) = 0 ⇒ k = 2/3 , -1 |
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