Solve 92-4y^610 - ScanMath

Question

Simplify the expression

92 - 40 y^{6}

Evaluate

92 - 4 y^{6} \times 10

Solution

92 - 40 y^{6}

Show Solution

4 (23 - 10 y^{6})

Evaluate

92 - 4 y^{6} \times 10

Multiply the terms

92 - 40 y^{6}

Solution

4 (23 - 10 y^{6})

Show Solution

y_{1} = - \frac{6 23 \times 1 0 ^{5}}{10}, y_{2} = \frac{6 23 \times 1 0 ^{5}}{10}

Alternative Form

y_{1} \approx - 1.148915, y_{2} \approx 1.148915

Evaluate

92 - 4 y^{6} \times 10

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

92 - 4 y^{6} \times 10 = 0

Multiply the terms

92 - 40 y^{6} = 0

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

- 40 y^{6} = 0 - 92

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

- 40 y^{6} = - 92

Change the signs on both sides of the equation

40 y^{6} = 92

Divide both sides

\frac{40 y ^{6}}{40} = \frac{92}{40}

Divide the numbers

y^{6} = \frac{92}{40}

Cancel out the common factor 4

y^{6} = \frac{23}{10}

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

y = \pm 6 \frac{23}{10}

Simplify the expression

More Steps

Evaluate

6 \frac{23}{10}

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

\frac{6 23}{6 10}

Multiply by the Conjugate

\frac{6 23 \times 6 1 0 ^{5}}{6 10 \times 6 1 0 ^{5}}

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

\frac{6 23 \times 1 0 ^{5}}{6 10 \times 6 1 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

610 \times 6 1 0^{5}

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

6 10 \times 1 0^{5}

Calculate the product

6 1 0^{6}

Reduce the index of the radical and exponent with 6

10

\frac{6 23 \times 1 0 ^{5}}{10}

y = \pm \frac{6 23 \times 1 0 ^{5}}{10}

Separate the equation into 2 possible cases

y = \frac{6 23 \times 1 0 ^{5}}{10} y = - \frac{6 23 \times 1 0 ^{5}}{10}

Solution

y_{1} = - \frac{6 23 \times 1 0 ^{5}}{10}, y_{2} = \frac{6 23 \times 1 0 ^{5}}{10}

Alternative Form

y_{1} \approx - 1.148915, y_{2} \approx 1.148915

Show Solution