How do you solve #7v ^ { 2} + 8= 456#?

1 Answer
Mar 31, 2017

#v=-8# and #8#

Explanation:

Cool Math

We'd need to use the system of equations, or PEMDAS, as the above image shows.

As we're working with a variable, we'd also need to work backwards.

Our first steps are A and S, addition and subtraction. Subtract #8# from both sides.

#7v^2 = 448#.

The next steps are M and D, multiplication and division. Divide #7# from both sides.

#v^2 = 64#.

The next step is E, exponents. Square root both sides.
#sqrt(v^2) = sqrt(64)#, so #v# equals both positive and negative #8#.

#v=-8# and #8#