Solve t^62-1 - ScanMath

Question

Simplify the expression

2 t^{6} - 1

Evaluate

t^{6} \times 2 - 1

Solution

2 t^{6} - 1

Show Solution

t_{1} = - \frac{6 32}{2}, t_{2} = \frac{6 32}{2}

Alternative Form

t_{1} \approx - 0.890899, t_{2} \approx 0.890899

Evaluate

t^{6} \times 2 - 1

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

t^{6} \times 2 - 1 = 0

Use the commutative property to reorder the terms

2 t^{6} - 1 = 0

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

2 t^{6} = 0 + 1

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

2 t^{6} = 1

Divide both sides

\frac{2 t ^{6}}{2} = \frac{1}{2}

Divide the numbers

t^{6} = \frac{1}{2}

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

t = \pm 6 \frac{1}{2}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{2}

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

\frac{6 1}{6 2}

Simplify the radical expression

\frac{1}{6 2}

Multiply by the Conjugate

\frac{6 2 ^{5}}{6 2 \times 6 2 ^{5}}

Simplify

\frac{6 32}{6 2 \times 6 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

62 \times 6 2^{5}

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

6 2 \times 2^{5}

Calculate the product

6 2^{6}

Reduce the index of the radical and exponent with 6

2

\frac{6 32}{2}

t = \pm \frac{6 32}{2}

Separate the equation into 2 possible cases

t = \frac{6 32}{2} t = - \frac{6 32}{2}

Solution

t_{1} = - \frac{6 32}{2}, t_{2} = \frac{6 32}{2}

Alternative Form

t_{1} \approx - 0.890899, t_{2} \approx 0.890899

Show Solution