Solve x 72x-3 - ScanMath

Question

Simplify the expression

72 x^{2} - 3

Evaluate

x \times 72 x - 3

Solution

More Steps

Evaluate

x \times 72 x

Multiply the terms

x^{2} \times 72

Use the commutative property to reorder the terms

72 x^{2}

72 x^{2} - 3

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Factor the expression

3 (24 x^{2} - 1)

Evaluate

x \times 72 x - 3

Multiply

More Steps

Evaluate

x \times 72 x

Multiply the terms

x^{2} \times 72

Use the commutative property to reorder the terms

72 x^{2}

72 x^{2} - 3

Solution

3 (24 x^{2} - 1)

Show Solution

Find the roots

x_{1} = - \frac{6}{12}, x_{2} = \frac{6}{12}

Alternative Form

x_{1} \approx - 0.204124, x_{2} \approx 0.204124

Evaluate

x \times 72 x - 3

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

x \times 72 x - 3 = 0

Multiply

More Steps

Multiply the terms

x \times 72 x

Multiply the terms

x^{2} \times 72

Use the commutative property to reorder the terms

72 x^{2}

72 x^{2} - 3 = 0

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

72 x^{2} = 0 + 3

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

72 x^{2} = 3

Divide both sides

\frac{72 x ^{2}}{72} = \frac{3}{72}

Divide the numbers

x^{2} = \frac{3}{72}

Cancel out the common factor 3

x^{2} = \frac{1}{24}

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

x = \pm \frac{1}{24}

Simplify the expression

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Evaluate

\frac{1}{24}

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

\frac{1}{24}

Simplify the radical expression

\frac{1}{24}

Simplify the radical expression

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Evaluate

24

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 6

Write the number in exponential form with the base of 2

2^{2} \times 6

The root of a product is equal to the product of the roots of each factor

2^{2} \times 6

Reduce the index of the radical and exponent with 2

26

\frac{1}{2 6}

Multiply by the Conjugate

\frac{6}{2 6 \times 6}

Multiply the numbers

More Steps

Evaluate

26 \times 6

When a square root of an expression is multiplied by itself,the result is that expression

2 \times 6

Multiply the terms

12

\frac{6}{12}

x = \pm \frac{6}{12}

Separate the equation into 2 possible cases

x = \frac{6}{12} x = - \frac{6}{12}

Solution

x_{1} = - \frac{6}{12}, x_{2} = \frac{6}{12}

Alternative Form

x_{1} \approx - 0.204124, x_{2} \approx 0.204124

Show Solution