Question

AAAAAAAAAA

Answer 1

(x^2+4x+4a+136)^2
= 16 a^2+8 a x^2+32 a x+1088 a+x^4+8 x^3+288 x^2+1088 x+18496


16a(5x^2+4x+136)
= 80 a x^2+64 a x+2176 a



so if (x^2+4x+4a+136)^2 = 16a(5x^2+4x+136)

therefore
16a^2 + 8ax^2 + 32ax + 1088a + x^4 + 8x^3 + 288x^2 + 1088x + 18496 =
80ax^2 + 64ax + 2176a

so reducing the above equation, we get:
16a^2 + x^4 + 8x^3 + 288x^2 + 1088x + 18496 =
72ax^2 + 32ax + 1078a

16a^2 -72ax^2 - 32ax - 1078a + x^4 + 8x^3 + 288x^2 + 1088x = - 18496

(16a^2 + a) (-1078 - 32x - 72x^2) + (x^2 + 4x)^2 + 272(x^2 + 4x) = - 18496

Answer 2

Is this from like brilliant.org?

Answer 3

hang on, back up a step

16a^2 -72ax^2 - 32ax - 1078a + x^4 + 8x^3 + 288x^2 + 1088x = - 18496

so

x^4 + 8x^3 + 288x^2 + 1088x + 18496 = 72ax^2 + 32ax + 1078a - 16a^2

(x^2 + 4x)^2 + 272(x^2 + 4x) + 18496 = (1078 + 32x + 72x^2)a -16a^2

(x^4 + 8x^3 + 288x^2 + 1088x + 18496)/ (1078 + 32x + 72x^2) = a-16a^2

Answer 4

wait, that's last line's wrong

ah to hell with it, i'm throwing in the towel

Answer 5

a = 9
a = 34
a = 4.84
sigma a = 47.84

dont ask me how because i didnt solve it

Answer 6

your answer is wrong, try to fix you solution ;)

Answer 7

when u edit the question to go from :
(x^2+4x+4a+136)^2 to
(x^3+4x+4a+136)^3
don't be surprised that the answers dont match the question ;)