How do you solve #3n^2=10n #?

2 Answers
Apr 19, 2018

n = 3.33
[UPDATE: Kalit's answer is accurate.]

Explanation:

#(3n)^2 = 10n#

Dividing both sides by n,

#(3n)^2/color(blue)n = 10n/color(blue)n#

Applying the law of exponents,

#3n^(2-1) = 10#

#3n=10#

Dividing 3 by both sides,

#(3n)/color(blue)3 = 10/color(blue)3#

#n = 3.33#

Apr 19, 2018

#:. n=0 # OR #n=10/3#

Explanation:

#3n^2=10n#

#rArr 3n^2-10n=0#

#rArr n.(3n-10)=0#

#:. n=0 # OR #n=10/3#