Solve 92-4y^6101 - ScanMath

Question

Simplify the expression

92 - 404 y^{6}

Evaluate

92 - 4 y^{6} \times 101

Solution

92 - 404 y^{6}

Show Solution

4 (23 - 101 y^{6})

Evaluate

92 - 4 y^{6} \times 101

Multiply the terms

92 - 404 y^{6}

Solution

4 (23 - 101 y^{6})

Show Solution

y_{1} = - \frac{6 23 \times 10 1 ^{5}}{101}, y_{2} = \frac{6 23 \times 10 1 ^{5}}{101}

Alternative Form

y_{1} \approx - 0.78145, y_{2} \approx 0.78145

Evaluate

92 - 4 y^{6} \times 101

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

92 - 4 y^{6} \times 101 = 0

Multiply the terms

92 - 404 y^{6} = 0

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

- 404 y^{6} = 0 - 92

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

- 404 y^{6} = - 92

Change the signs on both sides of the equation

404 y^{6} = 92

Divide both sides

\frac{404 y ^{6}}{404} = \frac{92}{404}

Divide the numbers

y^{6} = \frac{92}{404}

Cancel out the common factor 4

y^{6} = \frac{23}{101}

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

y = \pm 6 \frac{23}{101}

Simplify the expression

More Steps

Evaluate

6 \frac{23}{101}

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

\frac{6 23}{6 101}

Multiply by the Conjugate

\frac{6 23 \times 6 10 1 ^{5}}{6 101 \times 6 10 1 ^{5}}

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

\frac{6 23 \times 10 1 ^{5}}{6 101 \times 6 10 1 ^{5}}

Multiply the numbers

More Steps

Evaluate

6101 \times 6 10 1^{5}

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

6 101 \times 10 1^{5}

Calculate the product

6 10 1^{6}

Reduce the index of the radical and exponent with 6

101

\frac{6 23 \times 10 1 ^{5}}{101}

y = \pm \frac{6 23 \times 10 1 ^{5}}{101}

Separate the equation into 2 possible cases

y = \frac{6 23 \times 10 1 ^{5}}{101} y = - \frac{6 23 \times 10 1 ^{5}}{101}

Solution

y_{1} = - \frac{6 23 \times 10 1 ^{5}}{101}, y_{2} = \frac{6 23 \times 10 1 ^{5}}{101}

Alternative Form

y_{1} \approx - 0.78145, y_{2} \approx 0.78145

Show Solution