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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 = 5 - 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 = 9 44 9494 The opposite of squaring a number is taking its square root √ = ± x² = 9494 3232 The solutions are 1½ and -1½
3x² - 11 = 7 + 11 3x² = 18 The opposite of squaring a number is taking its square root √ 6 33 x² = 6 = ± 2.45
2(x – 2)² = 18 22 (x – 2)² = 9 The opposite of squaring a number is taking its square root √ (x – 2)² = 9 x – 2 = ± 3 + 2 x = 2 ± 3 x = 2 + 3 2 - 3 The solutions are 5 and -1
Pages 655 – 656 4 – 46 even
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