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nydus/The First Steps in AlgebraPublic

Page 141 of 226

Table of Contents

Affected Quadratic Equations.

Exercise 72.

Solve:

$x^{2} - 12 x + 27 = 0$ .

$x^{2} - 6 x + 8 = 0$ .

$x^{2} - 4 = 4 x - 7$ .

$5 x^{2} - 4 x - 1 = 0$ .

$4 x - 3 = 2 x - x^{2}$ .

$9 x^{2} - 24 x + 16 = 0$ .

$6 x^{2} - 5 x - 1 = 0$ .

$4 x + 3 = x^{2} + 2 x$ .

$16 x^{2} - 16 x + 3 = 0$ .

$3 x^{2} - 10 x + 3 = 0$ .

$x^{2} - 14 x - 51 = 0$ .

$34 x - x^{2} - 225 = 0$ .

$x^{2} + x - 20 = 0$ .

$x^{2} - x - 12 = 0$ .

$2 x^{2} - 12 x = - 10$ .

$3 x^{2} + 12 x - 36 = 0$ .

$(2 x - 1)^{2} + 9 = 6 (2 x - 1)$ .

$6 (9 x^{2} - x) = 55 (x^{2} - 1)$ .

$32 - 3 x^{2} - 10 x = 0$ .

$9 x^{2} - 6 x - 143 = 0$ .

$\frac{x}{x - 1} - \frac{x - 1}{x} = \frac{3}{2}$ .

$\frac{1}{x - 2} + \frac{2}{x + 2} = \frac{5}{6}$ .

$\frac{5 x + 7}{x - 1} = 3 x + 11$ .

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