Solve 265-40r^22 - ScanMath

Question

Simplify the expression

265 - 80 r^{2}

Evaluate

265 - 40 r^{2} \times 2

Solution

265 - 80 r^{2}

Show Solution

5 (53 - 16 r^{2})

Evaluate

265 - 40 r^{2} \times 2

Multiply the terms

265 - 80 r^{2}

Solution

5 (53 - 16 r^{2})

Show Solution

r_{1} = - \frac{53}{4}, r_{2} = \frac{53}{4}

Alternative Form

r_{1} \approx - 1.820027, r_{2} \approx 1.820027

Evaluate

265 - 40 r^{2} \times 2

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

265 - 40 r^{2} \times 2 = 0

Multiply the terms

265 - 80 r^{2} = 0

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

- 80 r^{2} = 0 - 265

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

- 80 r^{2} = - 265

Change the signs on both sides of the equation

80 r^{2} = 265

Divide both sides

\frac{80 r ^{2}}{80} = \frac{265}{80}

Divide the numbers

r^{2} = \frac{265}{80}

Cancel out the common factor 5

r^{2} = \frac{53}{16}

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

r = \pm \frac{53}{16}

Simplify the expression

More Steps

Evaluate

\frac{53}{16}

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

\frac{53}{16}

Simplify the radical expression

More Steps

Evaluate

16

Write the number in exponential form with the base of 4

4^{2}

Reduce the index of the radical and exponent with 2

4

\frac{53}{4}

r = \pm \frac{53}{4}

Separate the equation into 2 possible cases

r = \frac{53}{4} r = - \frac{53}{4}

Solution

r_{1} = - \frac{53}{4}, r_{2} = \frac{53}{4}

Alternative Form

r_{1} \approx - 1.820027, r_{2} \approx 1.820027

Show Solution