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Home › Forums › Math › What are the solutions of the equation x^4 + 95x^2 – 500 = 0? Use factoring to solve.

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- July 21, 2021 at 8:20 pm #10819
1. x = ± √5 and x = ±10

2. x = ± √i5 and x = ±10i

3. x = ± √5 and x = ±10i

4. x = ± √i5 and x = ±10July 21, 2021 at 8:28 pm #10821::**Answer :**Option C

x = ±√5, x = ±10i**Explanation :**

Given equation,

x^4 + 95x^2 – 500 = 0By

**factoring**the above equation we get,

x^4 + 100x^2 – 5x^2 – 500 = 0

x^2(x^2 + 100) – 5(x^2 + 100) = 0

(x^2 – 5)(x^2 + 100) = 0solving the equation,

x^2 = 5, x^2 = 100Therefore,

**x = ±√5, x = ±10i**- This reply was modified 2 years, 10 months ago by ProtonsTalk.

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