Solve 1 - 100x^2 - ScanMath

Question

Factor the expression

(1 - 10 x) (1 + 10 x)

Evaluate

1 - 100 x^{2}

Rewrite the expression in exponential form

1^{2} - (10 x)^{2}

Solution

(1 - 10 x) (1 + 10 x)

Show Solution

x_{1} = - \frac{1}{10}, x_{2} = \frac{1}{10}

Alternative Form

x_{1} = - 0.1, x_{2} = 0.1

Evaluate

1 - 100 x^{2}

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

1 - 100 x^{2} = 0

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

- 100 x^{2} = 0 - 1

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

- 100 x^{2} = - 1

Change the signs on both sides of the equation

100 x^{2} = 1

Divide both sides

\frac{100 x ^{2}}{100} = \frac{1}{100}

Divide the numbers

x^{2} = \frac{1}{100}

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

x = \pm \frac{1}{100}

Simplify the expression

More Steps

Evaluate

\frac{1}{100}

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

\frac{1}{100}

Simplify the radical expression

\frac{1}{100}

Simplify the radical expression

More Steps

Evaluate

100

Write the number in exponential form with the base of 10

1 0^{2}

Reduce the index of the radical and exponent with 2

10

\frac{1}{10}

x = \pm \frac{1}{10}

Separate the equation into 2 possible cases

x = \frac{1}{10} x = - \frac{1}{10}

Solution

x_{1} = - \frac{1}{10}, x_{2} = \frac{1}{10}

Alternative Form

x_{1} = - 0.1, x_{2} = 0.1

Show Solution