Solve 1-16x^(2) - ScanMath

Question

Factor the expression

(1 - 4 x) (1 + 4 x)

Evaluate

1 - 16 x^{2}

Rewrite the expression in exponential form

1^{2} - (4 x)^{2}

Solution

(1 - 4 x) (1 + 4 x)

Show Solution

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

Alternative Form

x_{1} = - 0.25, x_{2} = 0.25

Evaluate

1 - 16 x^{2}

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

1 - 16 x^{2} = 0

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

- 16 x^{2} = 0 - 1

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

- 16 x^{2} = - 1

Change the signs on both sides of the equation

16 x^{2} = 1

Divide both sides

\frac{16 x ^{2}}{16} = \frac{1}{16}

Divide the numbers

x^{2} = \frac{1}{16}

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

x = \pm \frac{1}{16}

Simplify the expression

More Steps

Evaluate

\frac{1}{16}

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

\frac{1}{16}

Simplify the radical expression

\frac{1}{16}

Simplify the radical expression

More Steps

Evaluate

16

Write the number in exponential form with the base of 4

4^{2}

Reduce the index of the radical and exponent with 2

4

\frac{1}{4}

x = \pm \frac{1}{4}

Separate the equation into 2 possible cases

x = \frac{1}{4} x = - \frac{1}{4}

Solution

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

Alternative Form

x_{1} = - 0.25, x_{2} = 0.25

Show Solution