Let p=x^2-2p=x 2 −2p, equals, x, squared, minus, 2. Which equation is equivalent to (x^2-2)^2+18=9x^2-18(x 2 −2) 2 +18=9x 2 −18left parenthesis, x, squared, minus, 2, right parenthesis, squared, plus, 18, equals, 9, x, squared, minus, 18 in terms of ppp ?

Question:

Let .

Which equation is equivalent to in terms of p ?

or

Step-by-step explanation:

Given

.

Required

Find the equation equivalent to

To get the equation equivalent to the given expression, we simply simplify and solve in terms of p

Factorize expression on the right hand side

Substitute for p

becomes

Hence, equation is equivalent to

Solving further to get the value of p

Subtract 9p from both sides

Rearrange

Factorize

p - 3 = 0 or p - 6 = 0

p = 3 or p = 6