Solve 121-144x^2 - ScanMath

Question

Factor the expression

Factor

(11 - 12 x) (11 + 12 x)

Evaluate

121 - 144 x^{2}

Rewrite the expression in exponential form

1 1^{2} - (12 x)^{2}

Solution

(11 - 12 x) (11 + 12 x)

Show Solution

Find the roots of the algebra expression

x_{1} = - \frac{11}{12}, x_{2} = \frac{11}{12}

Alternative Form

x_{1} = - 0.91 \dot{6}, x_{2} = 0.91 \dot{6}

Evaluate

121 - 144 x^{2}

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

121 - 144 x^{2} = 0

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

- 144 x^{2} = 0 - 121

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

- 144 x^{2} = - 121

Change the signs on both sides of the equation

144 x^{2} = 121

Divide both sides

\frac{144 x ^{2}}{144} = \frac{121}{144}

Divide the numbers

x^{2} = \frac{121}{144}

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

x = \pm \frac{121}{144}

Simplify the expression

More Steps

Evaluate

\frac{121}{144}

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

\frac{121}{144}

Simplify the radical expression

More Steps

Evaluate

121

Write the number in exponential form with the base of 11

1 1^{2}

Reduce the index of the radical and exponent with 2

11

\frac{11}{144}

Simplify the radical expression

More Steps

Evaluate

144

Write the number in exponential form with the base of 12

1 2^{2}

Reduce the index of the radical and exponent with 2

12

\frac{11}{12}

x = \pm \frac{11}{12}

Separate the equation into 2 possible cases

x = \frac{11}{12} x = - \frac{11}{12}

Solution

x_{1} = - \frac{11}{12}, x_{2} = \frac{11}{12}

Alternative Form

x_{1} = - 0.91 \dot{6}, x_{2} = 0.91 \dot{6}

Show Solution