Question

Is x3 + x5 = x8? EXPLAIN your answer.

Answer 1

\[x^3 + x^5 = x^8\]?

Answer 2

Mhm,

Answer 3

Hint!!!

\[\huge a^m \times a^n = a^{m+n}\]
\[\huge a^m + a^n \ne a^{m+n}\]

Answer 4

\[x^3 + x^5 = x^8\]
factorize out x^3
\[x^3(1 + x^2) = x^3(x^5)\]
and cancel
\[\cancel{x^3}(1 + x^2) = \cancel{x^3}(x^5)\]\[\qquad1 + x^2 = x^5\]

Answer 5

\[1+x^2=x^5\]take all terms to one side
\[1+x^2-x^5=0\]

Answer 6

Its eithers yes or no, Then explain why or why not

Answer 7

are there any solutions for x?

Answer 8

ummmmm is the question above correct,yes or no?

Answer 9

is
\[1+x^2−x^5=0\]
true for x=1 for example?

Answer 10

yeah thats easy
AF your just combinding like terms

Answer 11

so its correct @Suppa_Koopa_Troopa

Answer 12

as it turns out there are 5 solutions, four of them are complex,
and one is real but irrational ,
in general \[x^3+x^5\neq x^8\]

Answer 13

from the way i see it yeah unless its some parallel universe question lol .

Answer 14

\[1.194^3+1.194^5 \approx 1.194^8\]