Let p = 4x -7p=4x−7. What is equivalent to (4x - 7)^2 + 16 = 40x - 70(4x−7)2+16=40x−70 in terms of pp?

1 Answer
Johnson Z.
Jun 1, 2016

p^2-10p+16=0p2−10p+16=0

Explanation:

To rewrite the given equation in terms of pp, you need to simplify the equation such that the most number of "4x-74x−7" appears. Thus, factor the right side.

(4x-7)^2+16=40x-70(4x−7)2+16=40x−70

(4x-7)^2+16=10(4x-7)(4x−7)2+16=10(4x−7)

Since p=4x-7p=4x−7, replace each 4x-74x−7 with pp.

p^2+16=10pp2+16=10p

Rewriting the equation in standard form,

color(green)(|bar(ul(color(white)(a/a)color(black)(p^2-10p+16=0)color(white)(a/a)|)))

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