Answer:
- x1 = 2.7863
- x2 = - 0.11963
Step-by-step explanation:
Transform the quadratic to
3x^2 - 8x - 1 = 0
I don't see any obvious factors to this equation so we need to use the quadratic equation.
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]
[tex]\text{x = }\dfrac{ 8 \pm \sqrt{(-8)^2 - 4*3*(-1) } }{2*3}[/tex]
[tex]\text{x = }\dfrac{( 8) \pm \sqrt{64 +12 } }{6}[/tex]
[tex]\text{x = }\dfrac{( 8) \pm \sqrt{76 } }{6}[/tex]
x = (8 +/- 8.7178 ) / 6
x1 = (16.87178)/6 = 2.7863
x2= (8 -8.7178)/6 = -0.1196
