Solve 4x^4>19-x - ScanMath

Question

Solve the inequality

x \in (- \infty, - 1.504694) \cup (1.447341, + \infty)

Evaluate

4 x^{4} > 19 - x

Move the expression to the left side

4 x^{4} - (19 - x) > 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x^{4} - 19 + x > 0

Rewrite the expression

4 x^{4} - 19 + x = 0

Find the critical values by solving the corresponding equation

x \approx 1.447341 x \approx - 1.504694

Determine the test intervals using the critical values

x < - 1.504694 - 1.504694 < x < 1.447341 x > 1.447341

Choose a value form each interval

x_{1} = - 3 x_{2} = 0 x_{3} = 2

To determine if x < - 1.504694 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

x < - 1.504694 is the solution x_{2} = 0 x_{3} = 2

To determine if - 1.504694 < x < 1.447341 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < - 1.504694 is the solution - 1.504694 < x < 1.447341 is not a solution x_{3} = 2

To determine if x > 1.447341 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < - 1.504694 is the solution - 1.504694 < x < 1.447341 is not a solution x > 1.447341 is the solution

Solution

x \in (- \infty, - 1.504694) \cup (1.447341, + \infty)

Show Solution