Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Since we are given a = 3, b = -5, and c = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables
[tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}[/tex]
Step 2: Solve
[tex]x=\frac{5+/-\sqrt{25+ 84} }{6}[/tex]
[tex]x=\frac{5+/-\sqrt{109} }{6}[/tex]
Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
