Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma and list the smaller one first.

Question

For the quadratic equation (x - 10 )(x + 9 ) = 2, the solution(s) is(are)

Answer 1

To use the quadratic formula, you need to arrange things so that you have

y = ax^2 + bx + c

So,
(x - 10 )(x + 9 ) = 2
x^2-x-90 = 2
x^2 - x - 92 = 0
Now just apply the formula.