Answer:
The roots are -1/2 and 3/4
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
8x² -2x - 2 = 1
This can be rewritten as:
8x² - 2x - 3 = 0
By comparison, we would find that:
a = 8
b = -2
c = -3
Now, to get the roots of the equation, we would use the quadratic formula sown in the attached image
Substituting in the formula, we would find that:
either x = [tex] \frac{-(-2) + \sqrt{(-2)^2 - 4(8)(-3)} }{2(8)} = \frac{3}{4} [/tex]
or x = [tex] \frac{-(-2) - \sqrt{(-2)^2 - 4(8)(-3)} }{2(8)} = \frac{-1}{2} [/tex]
This means that the roots are:
-1/2 and 3/4
Hope this helps :)
