Question

Solve −x16+1≥−5x2, for x without multiplying by a negative number. Then, solve by multiplying through by −16.

Answer 1

−1.13348172≤x≤1.13348172

Explanation:

For this problem

Add −5x2 to both sides of the inequality.

−x16 + 1 + 5x2≥0

Convert inequality to an equation.

−x16 + 1 + 5x2 = 0

Factor −x16 + 1 + 5x2

Set the factor equal to 00.

x16−5x2−1 = 0

x≈ − 1.13348172,1.13348172

so,

x≤ − 1,13348172

−1.13348172≤x≤1.13348172

x≥1.13348172

−1.13348172≤x≤1.13348172