Quadratic Word Problem

QUADRATIC: WORD PROBLEM

w

A = lw

⟹

A = x(3x + 7)

↕

L w = x l = 3x + 7

↷

↷ 26 = x(3x + 7)

A = 26

26 = 3x2 + 21x 0 = 3x2 + 7x − 26

26 = 3x2 + 21x 0 = 3x2 + 7x − 26 3x2

3x

−2 ↖ 13 ↗

−6x + 13x = 7x (x − 2)(13x + 13) = 0 x−2=0 3x + 13 = 0 x=2 x = −13 3