Answer:
x = -3 and x = 1/2
Step-by-step explanation:
To find the solutions to
2x² + 5x - 3 = 0
we can use the quadratic formula, as follows:
[tex] x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)} [/tex]
[tex] x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)} [/tex]
[tex] x = \frac{-5 \pm 7}{4} [/tex]
[tex] x_1 = \frac{-5 + 7}{4} [/tex]
[tex] x_1 = 0.5 [/tex]
[tex] x_2 = \frac{-5 - 7}{4} [/tex]
[tex] x_2 = -3 [/tex]
