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Home › Forums › Math › What are the solutions of the equation x^4 + 95x^2 – 500 = 0? Use factoring to solve.
1. x = ± √5 and x = ±10
2. x = ± √i5 and x = ±10i
3. x = ± √5 and x = ±10i
4. x = ± √i5 and x = ±10
Answer : Option C
x = ±√5, x = ±10i
Explanation :
Given equation,
x^4 + 95x^2 – 500 = 0
By 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) = 0
solving the equation,
x^2 = 5, x^2 = 100
Therefore, x = ±√5, x = ±10i