Question

What are the roots of the quadratic equation x2 - 18x + 77 = 0?

Answer 1

Try factoring it. What are two factors of 77 that add up to -18?

Answer 2

dont take this as quadratic equation ... factorize it by splitting middle terms :

\[\huge{x^2-11x-7x+77}\]
\[\huge{x(x-11)-7(x-11)}\]
\[\huge{(x-7)(x-11)}\]
\(\huge{\textbf{hence roots are x=7 and x=11}}\)

Answer 3

there is a fundamental behind this
\[\huge{\color{violetred}{x^2-bx+c}}\]
find the multiples of c that add up to -b

Answer 4

here 77 multiples are -11 , -7 these add up to -18

Answer 5

that was -b there