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The value of K for which the quadratic equation 2x2+kx+2=0 has equal roots is |
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Answer» K=+4 and k=-4 Comparing the equation with ax²+bx+cWe get, a=2, b=k & c=2We know that, the quadratic equation has real and equal roots if the value of discriminant(D)=0Therefore, D= b²-4ac 0= k²- 4 (2)(2) 0= k²- 1616= k²Therefore, k = ±4Therefore, the quadratic equation 2x²+kx+2=0 has real and equal roots if k=±4 |
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