what is 16x^2 = 56x ?

2 Answers
Mar 27, 2018

Answer:

#x=7/2#

Explanation:

Divide both sides by #x.# This will cause #x# to cancel out on the right hand side.

#(16x^2)/x=(56cancelx)/cancelx#

Recall that #x^a/x^b=x^(a-b)#

Thus, we have

#16x^(2-1)=56#

#16x=56#

Divide both sides by #16:#

#(cancel16x)/cancel16=56/16#

Simplify:

#x=56/16=color(red)(7/2#

Mar 27, 2018

Answer:

#x=0# or #x=3 1/2#

Explanation:

Given
#color(white)("XXX")16x^2=56x#

After subtracting #56x# from both sides:
#color(white)("XXX")16x^2-56x=0#

Factoring out the #x# on the left side
#color(white)("XXX")x(16x-56)=0#

This implies that
#{: ("either",x=0," or ",16x-56=0), (,,,rarr x=56/16=7/2=3 1/2) :}#