Solve 1:x=x:64 - ScanMath

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Type your math problem... 1:x=x:64

Question

Solve the equation

x_{1} = - 8, x_{2} = 8

Evaluate

1 \div x = x \div 64

Find the domain

1 \div x = x \div 64, x \neq = 0

Rewrite the expression

\frac{1}{x} = x \div 64

Rewrite the expression

\frac{1}{x} = \frac{x}{64}

Cross multiply

64 = x \times x

Simplify the equation

64 = x^{2}

Swap the sides of the equation

x^{2} = 64

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

x = \pm 64

Simplify the expression

More Steps

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

x = \pm 8

Separate the equation into 2 possible cases

x = 8 x = - 8

Check if the solution is in the defined range

x = 8 x = - 8, x \neq = 0

Find the intersection of the solution and the defined range

x = 8 x = - 8

Solution

x_{1} = - 8, x_{2} = 8

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