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Let P(x) = 25(x + 2)2 – 2500.
1) Show that P(x) = 25(x-8)(x + 12).
2) Solve P(x) = 0.
3) MNPQ and QRST are two squares such that:
MN = 4(x + 2) and MR = (x + 2) (x > 0).
Let S be the area of MNPQ and S' the area of QRST.
a) Show that: S+S' = 25(x + 2)2
b) Calculate the value of x, if S + S' = 2500.
