How do you solve #8r^2-17=2471#?

1 Answer
Apr 9, 2017

Answer:

See the entire solution process below:

Explanation:

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

#8r^2 - 17 + color(red)(17) = 2471 + color(red)(17)#

#8r^2 - 0 = 2488#

#8r^2 = 2488#

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

#(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.