How do you solve 6x^2+5x=1?
2 Answers
Apr 29, 2017
Re-arranging we get:
We can write this as:
i.e.
=>
so,
:)>
Apr 29, 2017
Explanation:
"subtract 1 from both sides and equate to zero"
6x^2+5x-1=1-1
rArr6x^2+5x-1=0
"using the a-c method of factorising"
"require the factors of the product " -6" which sum to +5"
"the factors are " +6, -1
rArr6x^2+6x-x-1=0larr" split 5x"
rArr6x(x+1)-1(x+1)=0larr" factor pairs"
(x+1)(6x-1)=0larr" factor out (x+1)"
(x+1)=0rArrx=-1
(6x-1)=0rArrx=1/6
rArrx=-1" or " x=1/6" are the solutions"