Question

Solve.
2x^2 + x - 1 = 2
A 1,2
B No real solutions
C 1,-3/2
D x = (-1 plus minus 3) over 2

Answer 1

$2x^2+x-1=2\ \ \ |-2\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\ \ |-3\\2x=-3\ \ \ |:2\\x=-\frac{3}{2}\\\\x-1=0\ \ \ |+1\\x=1$

Answer: C 1, -3/2