Solve 2y^(2) 5y-3>0

Question

Solve the inequality

Solve the inequality by testing the values in the interval

Solve for y

y > \frac{3 300}{10}

Alternative Form

y \in (\frac{3 300}{10}, + \infty)

Evaluate

2 y^{2} \times 5 y - 3 > 0

Multiply

More Steps

10 y^{3} - 3 > 0

Rewrite the expression

10 y^{3} - 3 = 0

Move the constant to the right-hand side and change its sign

10 y^{3} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

10 y^{3} = 3

Divide both sides

\frac{10 y ^{3}}{10} = \frac{3}{10}

Divide the numbers

y^{3} = \frac{3}{10}

Take the 3 -th root on both sides of the equation

3 y^{3} = 3 \frac{3}{10}

Calculate

y = 3 \frac{3}{10}

Simplify the root

More Steps

y = \frac{3 300}{10}

Determine the test intervals using the critical values

y < \frac{3 300}{10} y > \frac{3 300}{10}

Choose a value form each interval

y_{1} = 0 y_{2} = 2

To determine if y < \frac{3 300}{10} is the solution to the inequality,test if the chosen value y = 0 satisfies the initial inequality

More Steps

y < \frac{3 300}{10} is not a solution y_{2} = 2

To determine if y > \frac{3 300}{10} is the solution to the inequality,test if the chosen value y = 2 satisfies the initial inequality

More Steps

y < \frac{3 300}{10} is not a solution y > \frac{3 300}{10} is the solution

Solution

y > \frac{3 300}{10}

Alternative Form

y \in (\frac{3 300}{10}, + \infty)

Show Solution