How do you solve #x^2-180 = 0 #?

2 Answers
Mar 22, 2016

#x=pm6sqrt5#

Explanation:

Add #180# to both sides.

#x^2=180#

Take the square root of both sides. Recall that the positive and negative roots can be taken.

#x=pmsqrt180#

We can simplify #sqrt180# as #sqrt36*sqrt5=6sqrt5#.

#x=+-6sqrt5#

Mar 22, 2016

# x = ± 6sqrt5 #

Explanation:

There are no common factors here so write as

# x^2 = 180 → x = ± sqrt180 #

now require to simplify # sqrt180#

considering factors of 180 , one of which is a square.

#rArr sqrt180 = sqrt(36xx5) = sqrt36xxsqrt5 = 6sqrt5#

thus : # x = ± 6sqrt5 #