Answer
Quadratic Formula
Work Step by Step
In the form $ax^2+bx+c=0,$ the given equation, $
2x^2+3x=1
,$ is equivalent to
\begin{align*}
2x^2+3x-1=0
.\end{align*}
Using $ax^2+bx+c=0,$ the equation above has
\begin{align*}
a=
2
,\text{ }b=
3
,\text{ and }c=
-1
.\end{align*}
Using the discriminant of a quadratic equation, which is given by $b^2-4ac,$ then
\begin{align*}
b^2-4ac&=
(3)^2-4(2)(-1)
\\&=
9+8
\\&=
17
.\end{align*}
Since the discriminant is NOT a perfect square, then the given equation is NOT factorable. Hence, the most appropriate way to solve the given equation is to use the Quadratic Formula.
