Question

If p(x) = 42x^2 - 18 and p(x) = 832.5 then what are two possible values for x?​

(Explain how you got your answer or show work!)

Answer 1

This is the answer !!!!!!!!!!!!!!!!

Answer 2

`\displaystyle x = 4.5 \text{ or } x = -4.5`

Explanation:

We are given the function:

`\displaystyle p(x) = 42x^2 - 18`

Given that p(x) = 832.5, we want to determine two possible values of x.

We can substitute:

`\displaystyle (832.5) = 42x^2 - 18`

Adding 18 to both sides yields:

`\displaystyle 42x^2 = 850.5`

And dividing both sides by 42 yields:

`\displaystyle x^2 = (850.5)/(42) = (81)/(4) = 20.25`

We can take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

`\displaystyle x = \pm √(20.25) = \pm4.5`

In conclusion, x = 4.5 or x = -4.5.