Solve 4x 72x-3 - ScanMath

Question

Simplify the expression

288 x^{2} - 3

Evaluate

4 x \times 72 x - 3

Solution

More Steps

Evaluate

4 x \times 72 x

Multiply the terms

288 x \times x

Multiply the terms

288 x^{2}

288 x^{2} - 3

Show Solution

Factor the expression

3 (96 x^{2} - 1)

Evaluate

4 x \times 72 x - 3

Multiply

More Steps

Evaluate

4 x \times 72 x

Multiply the terms

288 x \times x

Multiply the terms

288 x^{2}

288 x^{2} - 3

Solution

3 (96 x^{2} - 1)

Show Solution

Find the roots

x_{1} = - \frac{6}{24}, x_{2} = \frac{6}{24}

Alternative Form

x_{1} \approx - 0.102062, x_{2} \approx 0.102062

Evaluate

4 x \times 72 x - 3

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

4 x \times 72 x - 3 = 0

Multiply

More Steps

Multiply the terms

4 x \times 72 x

Multiply the terms

288 x \times x

Multiply the terms

288 x^{2}

288 x^{2} - 3 = 0

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

288 x^{2} = 0 + 3

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

288 x^{2} = 3

Divide both sides

\frac{288 x ^{2}}{288} = \frac{3}{288}

Divide the numbers

x^{2} = \frac{3}{288}

Cancel out the common factor 3

x^{2} = \frac{1}{96}

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

x = \pm \frac{1}{96}

Simplify the expression

More Steps

Evaluate

\frac{1}{96}

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

\frac{1}{96}

Simplify the radical expression

\frac{1}{96}

Simplify the radical expression

More Steps

Evaluate

96

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

16 \times 6

Write the number in exponential form with the base of 4

4^{2} \times 6

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

4^{2} \times 6

Reduce the index of the radical and exponent with 2

46

\frac{1}{4 6}

Multiply by the Conjugate

\frac{6}{4 6 \times 6}

Multiply the numbers

More Steps

Evaluate

46 \times 6

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

4 \times 6

Multiply the terms

24

\frac{6}{24}

x = \pm \frac{6}{24}

Separate the equation into 2 possible cases

x = \frac{6}{24} x = - \frac{6}{24}

Solution

x_{1} = - \frac{6}{24}, x_{2} = \frac{6}{24}

Alternative Form

x_{1} \approx - 0.102062, x_{2} \approx 0.102062

Show Solution