The value of k for which the quadratic equation 2 X square + kx + 2 equal to zero has equal roots

The value of k for which the quadratic equation 2 X square + kx + 2 eq

1.	The value of k for which the quadratic equation 2 X square + kx + 2 equal to zero has equal roots
Answer» Given, equation is x2 + kx + 2 = 0Given, roots are equal, so its discriminant value will be equal to zero=> D = 0=> b2 - 4ac = 0 .............1On comapring the given equation with ax2 + bx + c = 0, we geta = 1, b = k, c = 2From equation 1, we get=> (k)2 - 4 * 1 * 2 = 0=> k2 - 8 = 0=> k2 = 8=> k = ±√8=> k = ±2√2So, the value of k is k = ±2√2 K =4