For this case we have the following quadratic equation:
\(7x ^ 2 = 9 + x\)
Rewriting the equation we have:
\(7x ^ 2 - x - 9 = 0\)
The quadratic formula to solve the equation is:
\(x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}\)
Where,
\(a = 7
b = -1
c = -9\)
Substituting values we have:
\(x = \frac{-(-1)+/-\sqrt{(-1)^2-4(7)(-9)} }{2(7)}\)
Answer:
An equation that shows the quadratic formula used correctly to solve is:
\(x = \frac{-(-1)+/-\sqrt{(-1)^2-4(7)(-9)} }{2(7)}\)
