Solve 70-646 r^2 - ScanMath

Question

Factor the expression

2 (35 - 323 r^{2})

Evaluate

70 - 646 r^{2}

Solution

2 (35 - 323 r^{2})

Show Solution

r_{1} = - \frac{11305}{323}, r_{2} = \frac{11305}{323}

Alternative Form

r_{1} \approx - 0.329179, r_{2} \approx 0.329179

Evaluate

70 - 646 r^{2}

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

70 - 646 r^{2} = 0

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

- 646 r^{2} = 0 - 70

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

- 646 r^{2} = - 70

Change the signs on both sides of the equation

646 r^{2} = 70

Divide both sides

\frac{646 r ^{2}}{646} = \frac{70}{646}

Divide the numbers

r^{2} = \frac{70}{646}

Cancel out the common factor 2

r^{2} = \frac{35}{323}

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

r = \pm \frac{35}{323}

Simplify the expression

More Steps

Evaluate

\frac{35}{323}

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

\frac{35}{323}

Multiply by the Conjugate

\frac{35 \times 323}{323 \times 323}

Multiply the numbers

More Steps

Evaluate

35 \times 323

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

35 \times 323

Calculate the product

11305

\frac{11305}{323 \times 323}

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

\frac{11305}{323}

r = \pm \frac{11305}{323}

Separate the equation into 2 possible cases

r = \frac{11305}{323} r = - \frac{11305}{323}

Solution

r_{1} = - \frac{11305}{323}, r_{2} = \frac{11305}{323}

Alternative Form

r_{1} \approx - 0.329179, r_{2} \approx 0.329179

Show Solution