Question

X^2 -40x - 144000.

Factorise this quadratic equation.
Well if there is any shortcut for splitting the middle term,please help me with it.
It's very tough to split this middle term.

Answer 1

Answer:

The factors are (x-400) and (x+360)

Step-by-step explanation:

The given quadratic polynomial is factorized by splitting by its middle term.

$x^2-40x-144000\\\\=x^2-400x+360x-144000\\\\=x(x-400)+360(x-400)\\\\=(x-400)\:(x+360)$

Answer 2

Answer:

So x = 400 or - 360

Step-by-step explanation:

Just like to help in splitting the roots.

Take 144000 and find the multiplication factors. (consider close multipliers, they should sum up to -40.)

= 200 x 720

= 400 x 360  (Keep coming close from above multiplication)

360 - 400 = -40.. so go with the roots.

(x - 400) (x + 360) = 0

So x = 400 or - 360