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Q1 of 227 Page 105

Solve the following quadratic equations by completing the square.

=3x + 2


= 5x + 7 = (3x + 2)(x – 1)


= 5x + 7 = 3x(x – 1) + 2 (x – 1)


= 5x + 7 = 3x2 – 3x + 2x –2


= 5x + 7 = 3x2 – x – 2


= 3x2 – x – 2 – 5x – 7 =0


= 3x2 – 6x – 9 = 0


Divide whole equation by 3


= x2 – 2x – 3 = 0


= x2 – 3x + x – 3 = 0


= x (x – 3) + (x – 3) = 0


= (x – 3) (x + 1) = 0


x – 3 = 0 or x + 1 = 0


x = 3 or x = –1


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Questions · 227
3. Algebra
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