How do you solve $8 r^{2} - 17 = 2471$ $8r^2-17=2471$ ?

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How do you solve $8 r^{2} - 17 = 2471$ $8r^2-17=2471$ ?

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Answer 1 · 2017-04-09T00:55:27

See the entire solution process below:

Explanation:

First, add $17$ $color(red)(17)$ to each side of the equation to isolate the $r$ $r$ term while keeping the equation balanced:

$8 r^{2} - 17 + 17 = 2471 + 17$ $8r^2 - 17 + color(red)(17) = 2471 + color(red)(17)$

$8 r^{2} - 0 = 2488$ $8r^2 - 0 = 2488$

$8 r^{2} = 2488$ $8r^2 = 2488$

Next, divide each side of the equation by $8$ $color(red)(8)$ to isolate $r^{2}$ $r^2$ while keeping the equation balanced:

$\frac{8 r^{2}}{8} = \frac{2488}{8}$ $(8r^2)/color(red)(8) = 2488/color(red)(8)$

$(color(red)(cancel(color(black)(8)))r^2)/cancel(color(red)(8)) = 311$

$r^2 = 311$

Now, take the square root of each side of the equation to solve for $r$ while keeping the equation balanced. Remember, the square root of a number produces both a negative and positive result.

$sqrt(r^2) = +-sqrt(311)$

$r = +-sqrt(311) = 17.635$ rounded to the nearest thousandth.

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How do you solve $8 r^{2} - 17 = 2471$ $8r^2-17=2471$ ?

1 Answer

Explanation:

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