Answer:
The exact values of roots:
[tex]$x_{1}=\frac{-3+\sqrt{33}}{6}$[/tex]
[tex]$x_{2}=\frac{-3-\sqrt{33}}{6}$[/tex]
Approximation:
[tex]x_{1}\approx0.457[/tex]
[tex]x_{2}\approx -1.457[/tex]
Step-by-step explanation:
[tex]3x^2 + 3x =2\\3x^2 + 3x -2=0[/tex]
Using the quadratic formula:
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-3\pm \sqrt{3^2-4\cdot \:3\left(-2\right)}}{2\cdot \:3}$[/tex]
[tex]$x=\frac{-3\pm\sqrt{33}}{2\cdot \:3}$[/tex]
[tex]$x=\frac{-3\pm\sqrt{33}}6}$[/tex]
Answer: the person above is correct
Step-by-step explanation: APEX
