Question

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

Answer 1

${x}^{4} + 95 {x}^{2} - 500 = 0 \\ {x}^{4} + 100 {x}^{2} - 5 {x}^{2} - 500 = 0 \\ {x}^{2} ( {x}^{2} + 100) - 5( {x}^{2} + 100) = 0 \\ ( {x}^{2} + 100)( {x}^{2} - 5) = 0 \\ {x}^{2} = 5 \\ x = \sqrt{5} \: and \: - \sqrt{5}$
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