2x2+5x-12
2x2 + 5x - 12
= 2 (x2 + 5x/2 - 6)
= 2 (x2 + 5x/2 + 25/8 - 73/8)
= 2(x + 5/4)2 - 73/4
= (2x + 2.5)2 - 73/4
= \((2x + \dfrac{5}{2}-\dfrac{1}{2}\sqrt{73})(2x+\dfrac{5}{2}+\dfrac{1}{2}\sqrt{73})\)
Whoops what am I doing
I should do:
\(2x^2 + 5x - 12 = 0\\ x = \dfrac{-5 \pm \sqrt{5^2-4(2)(-12)}}{2(2)}\\ \;\;=\dfrac{-5\pm 11}{4}\\ x = \dfrac{3}{2}\text{ OR }-4\\ \therefore 2x^2 + 5x - 12 = (2x - 3)(x + 4)\)