To solve the quadratic equation 6h^2 + 9h - 4 = 0 using the quadratic formula:
The quadratic formula is: h = (-b ± √(b^2 - 4ac)) / 2a
In this equation, a = 6, b = 9, and c = -4.
Plugging these values into the formula:
h = (-9 ± √(9^2 - 4*6*(-4))) / 2*6
h = (-9 ± √(81 + 96)) / 12
h = (-9 ± √177) / 12
Therefore, the solutions are:
h = (-9 + √177) / 12 or h = (-9 - √177) / 12
These are the exact solutions. If you want to write them in decimal form, plug the value of √177 which is approximately 13.30.
h = (-9 + 13.30) / 12 ≈ 0.3883
h = (-9 - 13.30) / 12 ≈ -2.7199
So, the solutions are:
h ≈ 0.39 or h ≈ -2.72
Solve using the quadratic formula.
6h2 + 9h − 4 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
h =
or h =
1 answer