Solve r^6-4 - ScanMath

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Example problems

Type your math problem... r^6-4

Question

Factor the expression

(r^{3} - 2) (r^{3} + 2)

Evaluate

r^{6} - 4

Rewrite the expression in exponential form

(r^{3})^{2} - 2^{2}

Solution

(r^{3} - 2) (r^{3} + 2)

Show Solution

r_{1} = - 32, r_{2} = 32

Alternative Form

r_{1} \approx - 1.259921, r_{2} \approx 1.259921

Evaluate

r^{6} - 4

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

r^{6} - 4 = 0

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

r^{6} = 0 + 4

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

r^{6} = 4

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

r = \pm 64

Simplify the expression

More Steps

Evaluate

64

Write the number in exponential form with the base of 2

6 2^{2}

Reduce the index of the radical and exponent with 2

32

r = \pm 32

Separate the equation into 2 possible cases

r = 32 r = - 32

Solution

r_{1} = - 32, r_{2} = 32

Alternative Form

r_{1} \approx - 1.259921, r_{2} \approx 1.259921

Show Solution