Solve the equation 9x 2 + = 0, if possible, for real values of x.

Given, 9x 2 + = 0 ⇒ 36x 2 + 3x + 8 = 0 Comparing 36x 2 + 3x + 8 = 0 with ax 2 + bx + c = 0 we get, a = 36, b = 3 and c = 8 D = b 2 - 4ac = (3) 2 - 4(36)(8) = 9 - 1152 = -1143. Since, D 0 hence, roots are imaginary. There is no possibility of real roots.