Question

If x2 – 12x + 20 = (x + m)(x + n) then m + n =​

Answer 1

Answer:

m+n = -12

Step-by-step explanation:

x² -12x + 20

= x² - 10x - 2x + 20

= x(x-10) -2(x-10)

= (x-2)(x-10)

Now, Comparing it with (x+m)(x+n) we get,

m = -2 and n = -10

Therefore,

m+n = -2-10 = -12

Answer 2

Answer:

-12

Step-by-step explanation:

$x^{2} - 12x + 20 = 0\\x^{2} - 10x - 2x +20 = 0\\x(x - 10) - 2(x - 10) = 0\\(x-2)(x-10)\\So, (x + m)(x + n) = (x-2)(x-10)\\m = -2\\n=-10\\m+n = -2-10\\=-12$