Solution of higher order equation X^4+8X-48=0

Solution of higher order equation X^4+8X-48=0

X^4+8X-48=0
The solution is
x1=0.1443 + 2.6361i
x2 = 0.1443 - 2.6361i
x3 =2.4839
x4= -2.7725

A simple higher order equation
Solve the equation 3x ^ 4-2x ^ 3-9x ^ 2 + 12x-4 = 0

For solving higher-order inequality, the requirements of college entrance examination are not too high, and students are not required to solve any higher-order inequality. The solution is as follows: first observe and see if there are numbers satisfying the above formula (generally 1,2, - 1, - 2 and other simple numbers). It can be seen that x = 1 satisfies the above formula, indicating that there is a root of 1 (if the above formula is decomposed, there must be a term (...)

The solution equation: x2 + X + 1x2 + 1 + 2x2 + X + 1 = 196

The original equation is transformed into x2 + X + 1x2 + 1 + x2 + 1x2 + X + 1 = 23 + 32. Let y = x2 + X + 1x2 + 1, then the original equation becomes y + 1y = 23 + 32, and the solution is Y1 = 23, y2 = 32. When x2 + X + 1x2 + 1 = 23, x = - 3 ± 52; when x2 + X + 1x2 + 1 = 32, x = 1