Solve r^2604-4 - ScanMath

Question

Simplify the expression

604 r^{2} - 4

Evaluate

r^{2} \times 604 - 4

Solution

604 r^{2} - 4

Show Solution

4 (151 r^{2} - 1)

Evaluate

r^{2} \times 604 - 4

Use the commutative property to reorder the terms

604 r^{2} - 4

Solution

4 (151 r^{2} - 1)

Show Solution

r_{1} = - \frac{151}{151}, r_{2} = \frac{151}{151}

Alternative Form

r_{1} \approx - 0.081379, r_{2} \approx 0.081379

Evaluate

r^{2} \times 604 - 4

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

r^{2} \times 604 - 4 = 0

Use the commutative property to reorder the terms

604 r^{2} - 4 = 0

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

604 r^{2} = 0 + 4

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

604 r^{2} = 4

Divide both sides

\frac{604 r ^{2}}{604} = \frac{4}{604}

Divide the numbers

r^{2} = \frac{4}{604}

Cancel out the common factor 4

r^{2} = \frac{1}{151}

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

r = \pm \frac{1}{151}

Simplify the expression

More Steps

Evaluate

\frac{1}{151}

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

\frac{1}{151}

Simplify the radical expression

\frac{1}{151}

Multiply by the Conjugate

\frac{151}{151 \times 151}

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

\frac{151}{151}

r = \pm \frac{151}{151}

Separate the equation into 2 possible cases

r = \frac{151}{151} r = - \frac{151}{151}

Solution

r_{1} = - \frac{151}{151}, r_{2} = \frac{151}{151}

Alternative Form

r_{1} \approx - 0.081379, r_{2} \approx 0.081379

Show Solution