Question

If a and b are the roots of equation 2x² + 11x+ 12 = 0 and a < b; what is the value of b - a?​

Answer 1

Answer:

$a = - 4 \\ b = - \frac{3}{2}$

Final Answer = 5/2

Step-by-step explanation:

$= 2 {x}^{2} + 8{x} + 3x + 12 \\ = 2x(x + 4) + 3(x + 4) \\= (x + 4)(2x + 3) \\ \\ \\ put \: (x + 4) = 0 \: and \: (2x + 3) = 0. \\ \\ x + 4 = 0 \\ x = - 4 \\a = - 4\\ \\ 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2 } \\ b \: = \frac{ - 3}{2}\\ \\ b - a = \frac{ - 3}{2} - ( - 4) \\ = \frac{ - 3}{2} + 4 \\ = \frac{ - 3 + 8}{2} \\ = \frac{5}{2}$