Solve 405-141223861 m^2

Question

Find the roots

m_{1} = - \frac{9 706119305}{141223861}, m_{2} = \frac{9 706119305}{141223861}

Alternative Form

m_{1} \approx - 0.001693, m_{2} \approx 0.001693

Evaluate

405 - 141223861 m^{2}

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

405 - 141223861 m^{2} = 0

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

- 141223861 m^{2} = 0 - 405

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

- 141223861 m^{2} = - 405

Change the signs on both sides of the equation

141223861 m^{2} = 405

Divide both sides

\frac{141223861 m ^{2}}{141223861} = \frac{405}{141223861}

Divide the numbers

m^{2} = \frac{405}{141223861}

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

m = \pm \frac{405}{141223861}

Simplify the expression

More Steps

Evaluate

\frac{405}{141223861}

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

\frac{405}{141223861}

Simplify the radical expression

More Steps

Evaluate

405

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

81 \times 5

Write the number in exponential form with the base of 9

9^{2} \times 5

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

9^{2} \times 5

Reduce the index of the radical and exponent with 2

95

\frac{9 5}{141223861}

Multiply by the Conjugate

\frac{9 5 \times 141223861}{141223861 \times 141223861}

Multiply the numbers

More Steps

Evaluate

5 \times 141223861

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

5 \times 141223861

Calculate the product

706119305

\frac{9 706119305}{141223861 \times 141223861}

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

\frac{9 706119305}{141223861}

m = \pm \frac{9 706119305}{141223861}

Separate the equation into 2 possible cases

m = \frac{9 706119305}{141223861} m = - \frac{9 706119305}{141223861}

Solution

m_{1} = - \frac{9 706119305}{141223861}, m_{2} = \frac{9 706119305}{141223861}

Alternative Form

m_{1} \approx - 0.001693, m_{2} \approx 0.001693

Show Solution