Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

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Presentation transcript:

Using square roots to solve quadratic equations

2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2

x² + 12 = x² = - 7 The opposite of squaring a number is taking its square root √ -7 Can not answer because negative numbers do not have square roots there is no solution

4x² = The opposite of squaring a number is taking its square root √ = ± x² = The solutions are 1½ and -1½

3x² - 11 = x² = 18 The opposite of squaring a number is taking its square root √ 6 33 x² = 6 = ± 2.45

2(x – 2)² = (x – 2)² = 9 The opposite of squaring a number is taking its square root √ (x – 2)² = 9 x – 2 = ± x = 2 ± 3 x = The solutions are 5 and -1

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