Question

slove the quadratic equation by 2x²-x-3=0 by splitting the middle term,formula method and completing the square method​

Answer 1

Answer:

$2 {x}^{2} - x - 3 = 0 \\ 2 {x}^{2} + 2x - 3x - 3 = 0 \\ 2x(x + 1) - 3(x + 1) = 0 \\ (x + 1)(2x - 3) = 0 \\ x + 1 = 0 \: or \: 2x - 3 = 0 \\ \implies \: x = - 1 \: or \: x \: = \frac{3}{2}$