Question

"Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.

5 - 2x^2 = -15
a) x = 2
b) x = -2
c) x = 4
d) x = -4"

Answer 1

To solve the equation using inverse operations, rearrange it into a quadratic equation that equals zero, then use the quadratic formula to find the solutions.

Step-by-step explanation:

To solve the equation 5 - 2x^2 = -15 using inverse operations, we rearrange it into a quadratic equation that equals zero:

2x^2 + 0.00088x - 0.000484 = 0

Next, we can use the quadratic equation to solve for the two possible values of x.

x = (-0.00088 ± √(0.00088^2 - 4(2)(-0.000484))) / (2(2))

Simplifying the equation gives us:

x = (-0.00088 ± √(0.00077472 + 0.003872)) / 0.004

x = (-0.00088 ± √0.00464672) / 0.004

x = (-0.00088 ± 0.0681732) / 0.004

Therefore, the solutions are:

x ≈ -0.0384 or x ≈ -0.2521