Solve 8y^(2)-14-30

Question

Simplify the expression

8 y^{2} - 44

Evaluate

8 y^{2} - 14 - 30

Solution

8 y^{2} - 44

Show Solution

4 (2 y^{2} - 11)

Evaluate

8 y^{2} - 14 - 30

Subtract the numbers

8 y^{2} - 44

Solution

4 (2 y^{2} - 11)

Show Solution

y_{1} = - \frac{22}{2}, y_{2} = \frac{22}{2}

Alternative Form

y_{1} \approx - 2.345208, y_{2} \approx 2.345208

Evaluate

8 y^{2} - 14 - 30

To find the roots of the expression,set the expression equal to 0

8 y^{2} - 14 - 30 = 0

Subtract the numbers

8 y^{2} - 44 = 0

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

8 y^{2} = 0 + 44

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

8 y^{2} = 44

Divide both sides

\frac{8 y ^{2}}{8} = \frac{44}{8}

Divide the numbers

y^{2} = \frac{44}{8}

Cancel out the common factor 4

y^{2} = \frac{11}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

y = \pm \frac{11}{2}

Simplify the expression

More Steps

Evaluate

\frac{11}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{11}{2}

Multiply by the Conjugate

\frac{11 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

11 \times 2

The product of roots with the same index is equal to the root of the product

11 \times 2

Calculate the product

22

\frac{22}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{22}{2}

y = \pm \frac{22}{2}

Separate the equation into 2 possible cases

y = \frac{22}{2} y = - \frac{22}{2}

Solution

y_{1} = - \frac{22}{2}, y_{2} = \frac{22}{2}

Alternative Form

y_{1} \approx - 2.345208, y_{2} \approx 2.345208

Show Solution