Solve r 154r-6 - ScanMath

Question

Simplify the expression

154 r^{2} - 6

Evaluate

r \times 154 r - 6

Solution

More Steps

Evaluate

r \times 154 r

Multiply the terms

r^{2} \times 154

Use the commutative property to reorder the terms

154 r^{2}

154 r^{2} - 6

Show Solution

2 (77 r^{2} - 3)

Evaluate

r \times 154 r - 6

Multiply

More Steps

Evaluate

r \times 154 r

Multiply the terms

r^{2} \times 154

Use the commutative property to reorder the terms

154 r^{2}

154 r^{2} - 6

Solution

2 (77 r^{2} - 3)

Show Solution

r_{1} = - \frac{231}{77}, r_{2} = \frac{231}{77}

Alternative Form

r_{1} \approx - 0.197386, r_{2} \approx 0.197386

Evaluate

r \times 154 r - 6

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

r \times 154 r - 6 = 0

Multiply

More Steps

Multiply the terms

r \times 154 r

Multiply the terms

r^{2} \times 154

Use the commutative property to reorder the terms

154 r^{2}

154 r^{2} - 6 = 0

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

154 r^{2} = 0 + 6

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

154 r^{2} = 6

Divide both sides

\frac{154 r ^{2}}{154} = \frac{6}{154}

Divide the numbers

r^{2} = \frac{6}{154}

Cancel out the common factor 2

r^{2} = \frac{3}{77}

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

r = \pm \frac{3}{77}

Simplify the expression

More Steps

Evaluate

\frac{3}{77}

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

\frac{3}{77}

Multiply by the Conjugate

\frac{3 \times 77}{77 \times 77}

Multiply the numbers

More Steps

Evaluate

3 \times 77

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

3 \times 77

Calculate the product

231

\frac{231}{77 \times 77}

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

\frac{231}{77}

r = \pm \frac{231}{77}

Separate the equation into 2 possible cases

r = \frac{231}{77} r = - \frac{231}{77}

Solution

r_{1} = - \frac{231}{77}, r_{2} = \frac{231}{77}

Alternative Form

r_{1} \approx - 0.197386, r_{2} \approx 0.197386

Show Solution