Solve (x 8x-3) - ScanMath

Question

Simplify the expression

8 x^{2} - 3

Evaluate

x \times 8 x - 3

Solution

More Steps

Evaluate

x \times 8 x

Multiply the terms

x^{2} \times 8

Use the commutative property to reorder the terms

8 x^{2}

8 x^{2} - 3

Show Solution

x_{1} = - \frac{6}{4}, x_{2} = \frac{6}{4}

Alternative Form

x_{1} \approx - 0.612372, x_{2} \approx 0.612372

Evaluate

(x \times 8 x - 3)

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

x \times 8 x - 3 = 0

Multiply

More Steps

Multiply the terms

x \times 8 x

Multiply the terms

x^{2} \times 8

Use the commutative property to reorder the terms

8 x^{2}

8 x^{2} - 3 = 0

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

8 x^{2} = 0 + 3

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

8 x^{2} = 3

Divide both sides

\frac{8 x ^{2}}{8} = \frac{3}{8}

Divide the numbers

x^{2} = \frac{3}{8}

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

x = \pm \frac{3}{8}

Simplify the expression

More Steps

Evaluate

\frac{3}{8}

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

\frac{3}{8}

Simplify the radical expression

More Steps

Evaluate

8

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

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

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

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

\frac{3}{2 2}

Multiply by the Conjugate

\frac{3 \times 2}{2 2 \times 2}

Multiply the numbers

More Steps

Evaluate

3 \times 2

The product of roots with the same index is equal to the root of the product

3 \times 2

Calculate the product

6

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

Multiply the numbers

More Steps

Evaluate

22 \times 2

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

2 \times 2

Multiply the numbers

4

\frac{6}{4}

x = \pm \frac{6}{4}

Separate the equation into 2 possible cases

x = \frac{6}{4} x = - \frac{6}{4}

Solution

x_{1} = - \frac{6}{4}, x_{2} = \frac{6}{4}

Alternative Form

x_{1} \approx - 0.612372, x_{2} \approx 0.612372

Show Solution