Solve 6s8/6s8-1 - ScanMath

Question

Simplify the expression

64 s^{2} - 1

Evaluate

6 s \times \frac{8}{6} s \times 8 - 1

Cancel out the common factor 2

6 s \times \frac{4}{3} s \times 8 - 1

Solution

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Multiply the terms

6 s \times \frac{4}{3} s \times 8

Multiply the terms

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Evaluate

6 \times \frac{4}{3} \times 8

Multiply the terms

8 \times 8

Multiply the numbers

64

64 s \times s

Multiply the terms

64 s^{2}

64 s^{2} - 1

Show Solution

Factor the expression

(8 s - 1) (8 s + 1)

Evaluate

6 s \times \frac{8}{6} s \times 8 - 1

Evaluate

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Evaluate

6 s \times \frac{8}{6} s \times 8

Cancel out the common factor 2

6 s \times \frac{4}{3} s \times 8

Multiply the terms

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Evaluate

6 \times \frac{4}{3} \times 8

Multiply the terms

8 \times 8

Multiply the numbers

64

64 s \times s

Multiply the terms

64 s^{2}

64 s^{2} - 1

Rewrite the expression in exponential form

(8 s)^{2} - 1^{2}

Solution

(8 s - 1) (8 s + 1)

Show Solution

Find the roots

s_{1} = - \frac{1}{8}, s_{2} = \frac{1}{8}

Alternative Form

s_{1} = - 0.125, s_{2} = 0.125

Evaluate

6 s \times \frac{8}{6} s \times 8 - 1

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

6 s \times \frac{8}{6} s \times 8 - 1 = 0

Cancel out the common factor 2

6 s \times \frac{4}{3} s \times 8 - 1 = 0

Multiply

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Multiply the terms

6 s \times \frac{4}{3} s \times 8

Multiply the terms

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Evaluate

6 \times \frac{4}{3} \times 8

Multiply the terms

8 \times 8

Multiply the numbers

64

64 s \times s

Multiply the terms

64 s^{2}

64 s^{2} - 1 = 0

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

64 s^{2} = 0 + 1

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

64 s^{2} = 1

Divide both sides

\frac{64 s ^{2}}{64} = \frac{1}{64}

Divide the numbers

s^{2} = \frac{1}{64}

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

s = \pm \frac{1}{64}

Simplify the expression

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Evaluate

\frac{1}{64}

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

\frac{1}{64}

Simplify the radical expression

\frac{1}{64}

Simplify the radical expression

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Evaluate

64

Write the number in exponential form with the base of 8

8^{2}

Reduce the index of the radical and exponent with 2

8

\frac{1}{8}

s = \pm \frac{1}{8}

Separate the equation into 2 possible cases

s = \frac{1}{8} s = - \frac{1}{8}

Solution

s_{1} = - \frac{1}{8}, s_{2} = \frac{1}{8}

Alternative Form

s_{1} = - 0.125, s_{2} = 0.125

Show Solution