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find the value of k for which the quadratic equation 2x^2+kx+2=0 has equal roots |
| Answer» The values of k = 4.Given:Quadratic equation\xa0\xa0has equal roots.To find:The values of kExplanation:General format of quadratic equation is\xa0.If the roots of quadratic equation is equal then, Where, a = coefficient of x² b = coefficient of x c = constant term. b² - 4ac =0Comparing the quadratic equationb = k a=2 c=2 k² - 4×2×2 = 0 k² = 16 k =\xa0k = 4Therefore, the values of k = 4 if roots are equal. | |