Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation.

6x 2 - 2x = 7

Answer 1

I think 3/2 is the answer

Answer 2

Answer:

$=\frac{1\pm \sqrt{43}}{6}$

Step-by-step explanation:

The given equation is 6x² - 2x = 7

We have to solve this equation to get the value of x

6x² - 2x - 7 = 0

Now we apply the quadratic formula in this equation.

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

Here b = (-2), a = 6 and c = (-7)

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

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

$=\frac{2+\sqrt{172}}{12}$

$x=\frac{2\pm \sqrt{4(43)}}{12}$

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

x $=\frac{2(1\pm\sqrt{43} }{12}$

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