Solve x^670e-e - ScanMath

Question

Simplify the expression

70 e x^{6} - e

Evaluate

x^{6} \times 70 e - e

Solution

More Steps

Evaluate

x^{6} \times 70 e

Use the commutative property to reorder the terms

70 x^{6} e

Multiply the numbers

70 e x^{6}

70 e x^{6} - e

Show Solution

e (70 x^{6} - 1)

Evaluate

x^{6} \times 70 e - e

Multiply the terms

More Steps

Evaluate

x^{6} \times 70 e

Use the commutative property to reorder the terms

70 x^{6} e

Multiply the numbers

70 e x^{6}

70 e x^{6} - e

Solution

e (70 x^{6} - 1)

Show Solution

x_{1} = - \frac{6 7 0 ^{5}}{70}, x_{2} = \frac{6 7 0 ^{5}}{70}

Alternative Form

x_{1} \approx - 0.492588, x_{2} \approx 0.492588

Evaluate

x^{6} \times 70 e - e

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

x^{6} \times 70 e - e = 0

Multiply the terms

More Steps

Multiply the terms

x^{6} \times 70 e

Use the commutative property to reorder the terms

70 x^{6} e

Multiply the numbers

70 e x^{6}

70 e x^{6} - e = 0

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

70 e x^{6} = 0 + e

Add the terms

70 e x^{6} = e

Divide both sides

\frac{70 e x ^{6}}{70 e} = \frac{e}{70 e}

Divide the numbers

x^{6} = \frac{e}{70 e}

Divide the numbers

x^{6} = \frac{1}{70}

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

x = \pm 6 \frac{1}{70}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{70}

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

\frac{6 1}{6 70}

Simplify the radical expression

\frac{1}{6 70}

Multiply by the Conjugate

\frac{6 7 0 ^{5}}{6 70 \times 6 7 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

670 \times 6 7 0^{5}

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

6 70 \times 7 0^{5}

Calculate the product

6 7 0^{6}

Reduce the index of the radical and exponent with 6

70

\frac{6 7 0 ^{5}}{70}

x = \pm \frac{6 7 0 ^{5}}{70}

Separate the equation into 2 possible cases

x = \frac{6 7 0 ^{5}}{70} x = - \frac{6 7 0 ^{5}}{70}

Solution

x_{1} = - \frac{6 7 0 ^{5}}{70}, x_{2} = \frac{6 7 0 ^{5}}{70}

Alternative Form

x_{1} \approx - 0.492588, x_{2} \approx 0.492588

Show Solution