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Popular >

x^4-1<=-2x^2+98

Solution

x^{4} - 1 \leq - 2 x^{2} + 98

Solution

- 3 \leq x \leq 3

+1

Interval Notation

[- 3, 3]

Solution steps

x^{4} - 1 \leq - 2 x^{2} + 98

Rewrite in standard form

x^{4} - 99 + 2 x^{2} \leq 0

Factor

x^{4} - 99 + 2 x^{2} : (x + 3) (x - 3) (x^{2} + 11)

(x + 3) (x - 3) (x^{2} + 11) \leq 0

Identify the intervals

- 3 \leq x \leq 3

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Frequently Asked Questions (FAQ)

What is x^4-1<=-2x^2+98 ?
The solution to x^4-1<=-2x^2+98 is -3<= x<= 3