Whenever a quadratic equation is in the form
(i.e. the leading terms is 1), you can solve it by looking for two numbers that give when summed and when multiplied.
So, in your case,
So, we're looking for two numbers such that:
you can clearly check that these numbers are 3 and 4.
here's the solution,
let the length of shorter peice = x
then the lenght of longer peice = 6x + 8
now, we know that the sum of length of peices measures 99 feet,
So,
=》x + 6x + 8 = 99
=》7x = 91
=》x = 13
shorter piece length = 13 feet
longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet
4 goes into all of them
4*4=16
4*6=24
4*10=40
Answer:
https://youtu.be/_0Ft9HdNg5c
Step-by-step explanation: