Question #3828f

1 Answer
Apr 17, 2017

See below.

Explanation:

a x^2+bx+c = a(x^2+b/ax+c/a)ax2+bx+c=a(x2+bax+ca)

and now

x =1/2 (-b/apm sqrt((b/a)^2-4(c/a)))x=12ba±(ba)24(ca)

or

ax^2+bx+c=a(x+b/(2a)+1/2sqrt((b/a)^2-4(c/a)))(x+b/(2a)-1/2sqrt((b/a)^2-4(c/a)))ax2+bx+c=ax+b2a+12(ba)24(ca)x+b2a12(ba)24(ca)

or

ax^2+bx+c=a(x+b/(2a)+1/(2absa)sqrt(b^2-4ac))(x+b/(2a)-1/(2absa)sqrt(b^2-4ac))ax2+bx+c=a(x+b2a+12|a|b24ac)(x+b2a12|a|b24ac)