Answer:
[tex]x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
Step-by-step explanation:
x + 6x - 5 = 0
Since you can't factor the equation, use the quadratic formula.
Your equation is already in the form of ax + bx + c.
[tex]x=\frac{-b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
Based on your equation a = 1 b = 6 c = -5. Plug in the numbers and solve for x.
[tex]x = \frac{-6\frac{+}{} \sqrt{6^{2} -4(1)(-5)} }{2(1)} \\x = \frac{-6\frac{+}{} \sqrt{36+20 } }{2} \\x=\frac{-6\frac{+}{}\sqrt{56} }{2} \\x=\frac{-6\frac{+}{}2\sqrt{14} }{2} \\\\x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
