Page 100 - aljaber

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x +3 = −9
1−x x

−9(1 − x) = x(x + 3)

−9 + 9x = x 2 + 3x

x 2 − 6x + 9 = 0

(x − 3)2 = 0

.x1 = x2 = 3

.(x + 1)2 = 2x2 − 5x + 11 ()

(x + 1)2 = 2x 2 − 5x + 11

x 2 + 2x + 1 = 2x 2 − 5x + 11

x 2 − 7x + 10 = 0

(x − 2)(x − 5) = 0

x −2 = 0 x −5 = 0

x =2 x =5

.x2 = 5 x1 = 2

[Completing The Square] (.)

x 2 + 6x − 2 = 0

. x 2 + 6x − 2

ax2 + bx + c = 0 (x + p)2 = q

.