1) Start with the first equation: U - 2X = 3√5 We can rewrite it as U = 2X + 3√5
2) Substitute U in the second equation: X^2 - X(2X + 3√5) - (2X)^2 = - Simplify the expression X^2 - 2X^2 - 3X√5 - 4X^2 = - -5X^2 - 3X√5 = - -X^2 - 3X√5 = - X^2 + 3X√5 = 1
3) We now have the system of equations U = 2X + 3√ X^2 + 3X√5 = 1
This system of equations is nonlinear and may require a more advanced approach to solve. Let's attempt to solve it implicitly by eliminating the variable U:
If U = 2X + 3√5, then substitute this into the second equation: (2X + 3√5)^2 + 3(2X + 3√5)√5 = 1
To solve the system of equations:
1) Start with the first equation: U - 2X = 3√5
We can rewrite it as U = 2X + 3√5
2) Substitute U in the second equation: X^2 - X(2X + 3√5) - (2X)^2 = -
Simplify the expression
X^2 - 2X^2 - 3X√5 - 4X^2 = -
-5X^2 - 3X√5 = -
-X^2 - 3X√5 = -
X^2 + 3X√5 = 1
3) We now have the system of equations
U = 2X + 3√
X^2 + 3X√5 = 1
This system of equations is nonlinear and may require a more advanced approach to solve. Let's attempt to solve it implicitly by eliminating the variable U:
If U = 2X + 3√5, then substitute this into the second equation: (2X + 3√5)^2 + 3(2X + 3√5)√5 = 1
Expand and simplify the equation to solve for X.