Question

HELP ASAP!!!!!! 20 Points and will mark brainliest for correct answer!

Answer 1

6x^2 - 2x = 7

6x^2 - 2x - 7 = 0

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4(6)(-7)}}{2(6)}$

$x = \dfrac{2 \pm \sqrt{4 + 168}}{12}$

$x = \dfrac{2 \pm \sqrt{172}}{12}$

$x = \dfrac{2 \pm 2\sqrt{43}}{12}$

$x = \dfrac{1 \pm \sqrt{43}}{6}$

Answer 2

Hey there :)

6x² - 2x = 7

Bring all terms to one side and equate to 0
6x² - 2x - 7 = 0

Lets see if we can solve by factoring:
Sum = - 2  and   Product = - 7 
We do not have factors for this

Therefore, we need to solve by quadratic equation { Refer to the attached picture }

6x² - 2x - 7 = 0
 ↓      ↓     ↓
 a      b     c

x = $\frac{-(-2)+/- \sqrt{(-2)^2-4(6)(-7)} }{2(6)}$
x = $\frac{2+/- \sqrt{ 172 } }{12} = \frac{2+/-2 \sqrt{43} }{12}$

x = $\frac{1+/-\sqrt{43}}{6}$
         ↓
      Will be your answer