Is it possible to factor #y=x^2 + 7x – 6 #? If so, what are the factors?

1 Answer
Apr 7, 2018

Answer:

#(x+7/2-1/2sqrt73)(x+7/2+1/2sqrt73)#

Explanation:

#"there are no whole number factors of - 6 which sum"#
#"+ 7"#

#"obtain the factors by finding the solution using the "#
#color(blue)"quadratic formula"#

#•color(white)(x)x=(-b+-sqrt(b^2-4ac))/(2a)#

#"with "a=1,b=7" and "c=-6#

#x=(-7+-sqrt(49+24))/2=(-7+-sqrt73)/2#

#x=-7/2+1/2sqrt73" or "x=-7/2-1/2sqrt73#

#"thus the factors are"#

#(x-(-7/2+1/2sqrt73))(x-(-7/2-1/2sqrt73))#

#=(x+7/2-1/2sqrt73)(x+7/2+1/2sqrt73)#