# What is the value of b^2-4ac for the following equation: 2x^2+3x=-1?

Mar 4, 2018

${b}^{2} - 4 a c = 1$

#### Explanation:

$\text{for a quadratic equation in "color(blue)"standard form}$

•color(white)(x)ax^2+bx+c=0color(white)(x);a!=0

$\text{then the "color(blue) "discriminant } \Delta = {b}^{2} - 4 a c$

$\text{rearrange "2x^2+3x=-1" into standard form}$

$\Rightarrow 2 {x}^{2} + 3 x + 1 = 0 \leftarrow \textcolor{b l u e}{\text{in standard form}}$

$\text{with "a=2,b=3" and } c = 1$

$\Rightarrow {b}^{2} - 4 a c$

$= {3}^{2} - \left(4 \times 2 \times 1\right) = 9 - 8 = 1$