Solve 2⋅x^(2 )-14x^37<529

Evaluate

2 x^{2} - 14 x^{3} \times 7 < 529

Multiply the terms

2 x^{2} - 98 x^{3} < 529

Move the expression to the left side

2 x^{2} - 98 x^{3} - 529 < 0

Rewrite the expression

2 x^{2} - 98 x^{3} - 529 = 0

Find the critical values by solving the corresponding equation

x \approx - 1.747413

Determine the test intervals using the critical values

x < - 1.747413 x > - 1.747413

Choose a value form each interval

x_{1} = - 3 x_{2} = - 1

To determine if x < - 1.747413 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

x < - 1.747413 is not a solution x_{2} = - 1

To determine if x > - 1.747413 is the solution to the inequality,test if the chosen value x = - 1 satisfies the initial inequality

More Steps

x < - 1.747413 is not a solution x > - 1.747413 is the solution

Solution

x > - 1.747413

Alternative Form

x \in (- 1.747413, + \infty)

Solve the inequality