How to solve this equation 4x²-4x+1=0?
2 Answers
Mar 13, 2018
4
4
2
(2
2
threfore ,
Here I have used middle-term technique to factorize the equation
Mar 13, 2018
Explanation:
#"Using the a-c method to factor the quadratic"#
#"the factors of + 4 which sum to - 4 are - 2 and - 2"#
#rArr4x^2-2x-2x+1=0larrcolor(blue)"split the middle term"#
#rArrcolor(red)(2x)(2x-1)color(red)(-1)(2x-1)=0larrcolor(blue)"factor by grouping"#
#"Take out a common factor "(2x-1)#
#rArr(2x-1)(color(red)(2x-1))=0#
#rArr(2x-1)^2=0#
#rArr2x-1=0rArrx=1/2" twice"#