Find the nature of the roots using 1) 2s²+9=0
Answer (1)
To find the nature of the roots, use the discriminant formula:Discriminant (D) = b² - 4acFor the equation 2s² + 9 = 0, rewrite it in standard form:2s² + 0s + 9 = 0So,a = 2b = 0c = 9Step 1: Solve the discriminantD = 0² - 4(2)(9)D = 0 - 72D = -72Step 2: Interpret the discriminantIf D > 0 → 2 real and distinct rootsIf D = 0 → 1 real and repeated rootIf D < 0 → No real roots, but 2 complex rootsFinal AnswerThe roots are imaginary (complex and not real).
