Solve t^46-1 - ScanMath

Question

Simplify the expression

6 t^{4} - 1

Evaluate

t^{4} \times 6 - 1

Solution

6 t^{4} - 1

Show Solution

t_{1} = - \frac{4 216}{6}, t_{2} = \frac{4 216}{6}

Alternative Form

t_{1} \approx - 0.638943, t_{2} \approx 0.638943

Evaluate

t^{4} \times 6 - 1

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

t^{4} \times 6 - 1 = 0

Use the commutative property to reorder the terms

6 t^{4} - 1 = 0

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

6 t^{4} = 0 + 1

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

6 t^{4} = 1

Divide both sides

\frac{6 t ^{4}}{6} = \frac{1}{6}

Divide the numbers

t^{4} = \frac{1}{6}

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

t = \pm 4 \frac{1}{6}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{6}

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

\frac{4 1}{4 6}

Simplify the radical expression

\frac{1}{4 6}

Multiply by the Conjugate

\frac{4 6 ^{3}}{4 6 \times 4 6 ^{3}}

Simplify

\frac{4 216}{4 6 \times 4 6 ^{3}}

Multiply the numbers

More Steps

Evaluate

46 \times 4 6^{3}

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

4 6 \times 6^{3}

Calculate the product

4 6^{4}

Reduce the index of the radical and exponent with 4

6

\frac{4 216}{6}

t = \pm \frac{4 216}{6}

Separate the equation into 2 possible cases

t = \frac{4 216}{6} t = - \frac{4 216}{6}

Solution

t_{1} = - \frac{4 216}{6}, t_{2} = \frac{4 216}{6}

Alternative Form

t_{1} \approx - 0.638943, t_{2} \approx 0.638943

Show Solution