Solve 1-8x^24 - ScanMath

Question

Simplify the expression

1 - 32 x^{2}

Evaluate

1 - 8 x^{2} \times 4

Solution

1 - 32 x^{2}

Show Solution

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

Alternative Form

x_{1} \approx - 0.176777, x_{2} \approx 0.176777

Evaluate

1 - 8 x^{2} \times 4

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

1 - 8 x^{2} \times 4 = 0

Multiply the terms

1 - 32 x^{2} = 0

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

- 32 x^{2} = 0 - 1

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

- 32 x^{2} = - 1

Change the signs on both sides of the equation

32 x^{2} = 1

Divide both sides

\frac{32 x ^{2}}{32} = \frac{1}{32}

Divide the numbers

x^{2} = \frac{1}{32}

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

x = \pm \frac{1}{32}

Simplify the expression

More Steps

Evaluate

\frac{1}{32}

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

\frac{1}{32}

Simplify the radical expression

\frac{1}{32}

Simplify the radical expression

More Steps

Evaluate

32

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

16 \times 2

Write the number in exponential form with the base of 4

4^{2} \times 2

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

4^{2} \times 2

Reduce the index of the radical and exponent with 2

42

\frac{1}{4 2}

Multiply by the Conjugate

\frac{2}{4 2 \times 2}

Multiply the numbers

More Steps

Evaluate

42 \times 2

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

4 \times 2

Multiply the terms

8

\frac{2}{8}

x = \pm \frac{2}{8}

Separate the equation into 2 possible cases

x = \frac{2}{8} x = - \frac{2}{8}

Solution

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

Alternative Form

x_{1} \approx - 0.176777, x_{2} \approx 0.176777

Show Solution