Solve using the quadratic formula.

Question

9x2 − 3x − 8 = 0

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

x =
or x =

Questions

Answer 1

To solve the quadratic equation 9x^2 - 3x - 8 = 0 using the quadratic formula, we first identify the values of a, b, and c in the equation:

a = 9
b = -3
c = -8

Now, we plug these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (3 ± √((-3)^2 - 4*9*(-8))) / 2*9
x = (3 ± √(9 + 288)) / 18
x = (3 ± √297) / 18

Simplifying further, we get:

x = (3 ± √297) / 18

So, the solutions to the quadratic equation are x = (3 + √297) / 18 and x = (3 - √297) / 18. These are the exact solutions in simplest form.