Precalc0011to0016-page6

Precalc0011to0016-page6 - (Section 0.11: Solving Equations)...

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(Section 0.11: Solving Equations) 0.11.6 Square Root Method If d > 0 , then x 2 = d ± x d . If d = 0 , then x 2 = d ± x 2 = 0 ± x = 0 . If d < 0 , then x 2 = d has no real solutions. • For example, x 2 = 3 ± x 3 , while x 2 = ± 3 has no real solutions. • This method can be extended to u 2 = d , where u is an expression in x or some other variable. • This is often the quickest method for solving ax 2 + bx + c = 0 when b = 0 . Example 4 (Using the Square Root Method) Solve 3 x 2 ± 4 = 0 using the Square Root Method. § Solution We begin by
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