Solve t^6-25 - ScanMath

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... t^6-25

Question

Factor the expression

(t^{3} - 5) (t^{3} + 5)

Evaluate

t^{6} - 25

Rewrite the expression in exponential form

(t^{3})^{2} - 5^{2}

Solution

(t^{3} - 5) (t^{3} + 5)

Show Solution

t_{1} = - 35, t_{2} = 35

Alternative Form

t_{1} \approx - 1.709976, t_{2} \approx 1.709976

Evaluate

t^{6} - 25

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

t^{6} - 25 = 0

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

t^{6} = 0 + 25

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

t^{6} = 25

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

t = \pm 625

Simplify the expression

More Steps

Evaluate

625

Write the number in exponential form with the base of 5

6 5^{2}

Reduce the index of the radical and exponent with 2

35

t = \pm 35

Separate the equation into 2 possible cases

t = 35 t = - 35

Solution

t_{1} = - 35, t_{2} = 35

Alternative Form

t_{1} \approx - 1.709976, t_{2} \approx 1.709976

Show Solution

English