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Find the value of k for which the equation 2x +3x+20 and43x2 + 4k x +2 0 may have a connnon root |
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Answer» 2x^2 + 3x - 2 = 02x^2 +4x - x - 2 = 02x(x + 2) - 1(x +2)=0(2x - 1)(x+2)x = 1/2, - 2 Both equations have common roots thenPut value of x = - 2 in equation 3x^2 +4kx +2=03(-2)*(-2) + 4k*(-2) + 2 = 012 - 8k +2 = 014-8k=08k = 14k = 7/4 ans |
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