Question

Use the quadratic formula to solve 4x²-9x=2x²-2x-4

Answer 1

`4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = (-b \pm √(b^2 -4ac))/(2a).\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =(-(-7) \pm √((-7)^2 - 4 \cdot 2 \cdot 4))/(2(2))\\\\\\\implies x = \frac{7 \pm √(17)}4\\\\\\\text{Hence,}~ x = \frac{7 +√(17)}4~ \text{and}~x = \frac{7 -√(17)}4`