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

Answer:

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

Step-by-step 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:

$\displaystyle x^2 = \frac{850.5}{42} = \frac{81}{4} = 20.25$

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

$\displaystyle x = \pm \sqrt{20.25} = \pm4.5$

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

Answer 2

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