Please help with the following?

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Answer 1 · 2018-06-02T06:51:20

#c=8# or #c=2#

#c^2-10c+16=0#

#(c-8)(c-2)=0#

#c=8# or #c=2#

#c^2-10c+16# is in the general form #y=x^2+bx+c# which can also be written as #y=x^2+("sum of roots")x+("product of roots")#

What does that mean?

Well it means that you need to find two numbers that when added together equals to 10 and when multiplied equals to 16.

Answer 2 · 2018-06-02T06:55:39

C = 8 or C = 2

This a simple Monic quadratic.

#c^2-10*c+16=0#
Factorise to give:
#(c-8)(c-2)=0#
Using Null factor law:
#c-8 = 0 =>c= 8#
or
#c-2 = 0 =>c=2#