Question #8fc1b

1 Answer
Feb 13, 2018

#x=-1" or "x=-1/5#

Explanation:

#"factorise the quadratic using the a-c method"#

#"the factors of + 5 which sum to + 6 are + 5 and + 1"#

#rArr5x^2+5x+x+1=0larrcolor(blue)"split the middle term"#

#rArrcolor(red)(5x)(x+1)color(red)(+1)(x+1)=0#

#rArr(x+1)(color(red)(5x+1))=0#

#"equate each factor to zero and solve for x"#

#x+1=0rArrx=-1#

#5x+1=0rArrx=-1/5#