Rearrange the following equations so they are written in the form

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Rearrange the following equations so they are written in the form ax2+bx+c=0ax^2 + bx + c = 0, then use the quadratic formula to solve exactly for xx. (1) (x+2)(x−1)=2−3x(x + 2)(x - 1) = 2 - 3x (2) (2x+1)2=3−x(2x + 1)^2 = 3 - x (3) (x−2)2=1+x(x - 2)^2 = 1 + x (4) (3x+1)2=−2x(3x + 1)^2 = -2x (5) (x+3)(2x+1)=9(x + 3)(2x + 1) = 9 (6) (2x+3)(2x−3)=x(2x + 3)(2x - 3) = x (7) x−12−x=2x+1\frac{x-1}{2-x} = 2x + 1 (8) x−1x=1x - \frac{1}{x} = 1 (9) 2x−1x=32x - \frac{1}{x} = 3

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