People tend to see the obvious solution. In this problem 7. There is also the real solution of -3 because the exponent is even. However, because the degree of this polynomial is 6, we also have 4 complex solutions. We know there are 6 solutions in total, because the 6 exponent, the degree of the polynomial. Well done.
People tend to see the obvious solution. In this problem 7. There is also the real solution of -3 because the exponent is even. However, because the degree of this polynomial is 6, we also have 4 complex solutions. We know there are 6 solutions in total, because the 6 exponent, the degree of the polynomial. Well done.
You make maths lenghy, compecate
Replace X by 7 and solve. Match perfectly
I did different.
6th root on both sides and solve x : x = 7
x=2+5×cos(n×pi/3)+5i×sin(n×pi/3), n=0, 1, ... , 5
Roots are -3, 7, -0.5±2.5i×sqrt3, 4.5±2.5i×sqrt3
✌️
(X-2)⁶ = 5⁶ (X-2)⁶/1⁶ = 5 X-2 = 5 X = 5+2 X = 7.
WHAT DO YOU THINK ABOUT???
X - 2 = 5 Х= 7 РЕШЕНИЕ.
А ещё пять корней?