Solve 16x^68-8-6 - ScanMath

Question

Simplify the expression

128 x^{6} - 14

Evaluate

16 x^{6} \times 8 - 8 - 6

Multiply the terms

128 x^{6} - 8 - 6

Solution

128 x^{6} - 14

Show Solution

2 (64 x^{6} - 7)

Evaluate

16 x^{6} \times 8 - 8 - 6

Multiply the terms

128 x^{6} - 8 - 6

Subtract the numbers

128 x^{6} - 14

Solution

2 (64 x^{6} - 7)

Show Solution

x_{1} = - \frac{6 7}{2}, x_{2} = \frac{6 7}{2}

Alternative Form

x_{1} \approx - 0.691544, x_{2} \approx 0.691544

Evaluate

16 x^{6} \times 8 - 8 - 6

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

16 x^{6} \times 8 - 8 - 6 = 0

Multiply the terms

128 x^{6} - 8 - 6 = 0

Subtract the numbers

128 x^{6} - 14 = 0

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

128 x^{6} = 0 + 14

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

128 x^{6} = 14

Divide both sides

\frac{128 x ^{6}}{128} = \frac{14}{128}

Divide the numbers

x^{6} = \frac{14}{128}

Cancel out the common factor 2

x^{6} = \frac{7}{64}

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

x = \pm 6 \frac{7}{64}

Simplify the expression

More Steps

Evaluate

6 \frac{7}{64}

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

\frac{6 7}{6 64}

Simplify the radical expression

More Steps

Evaluate

664

Write the number in exponential form with the base of 2

6 2^{6}

Reduce the index of the radical and exponent with 6

2

\frac{6 7}{2}

x = \pm \frac{6 7}{2}

Separate the equation into 2 possible cases

x = \frac{6 7}{2} x = - \frac{6 7}{2}

Solution

x_{1} = - \frac{6 7}{2}, x_{2} = \frac{6 7}{2}

Alternative Form

x_{1} \approx - 0.691544, x_{2} \approx 0.691544

Show Solution