Finding appropriate square roots for given equation

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Reference no: EM131562907

Qusetion: Solve the given quadratic equations by finding appropriate square roots as in Example.

X2 = 25

Example: Quadratic equation solutions

In solving x2 = 16 we may write x2 - 16 = 0 and complete the solution by factoring. This gives us
x = 4 and x = -4. Therefore, the principal square root of 16 and its negative both satisfy the original equation. Thus, we may solve x2 = 16 by equating x to the principal square root of 16 and to its negative. The roots of x2 = 16 are 4 and -4 We may solve (x - 3)2 = 16 in a similar way by equating x - 3 to 4 and to -4.

x - 3 = 4 or x - 3 = -4

Reference no: EM131562907

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