1.解方程x^4-2x^2-48=02.解方程6x^4-35x^3+62x^2-35x+6=0

Question

1.解方程x^4-2x^2-48=0
2.解方程6x^4-35x^3+62x^2-35x+6=0

Answer 1

1.解方程 x^4-2x^2-48=0
(x² + 6)(x² - 8) = 0
x12 = ±√6 x34 = ±2√2
2.解方程 6x^4-35x^3+62x^2-35x+6=0
6x^4 - 35x^3 + 62x^2 - 35x + 6 = 0
x^4 - 35x^3/6 + 31x^2/3 - 35x/6 + 1 = 0
x1 = 1/2 x2 = 1/3 x3 = 2 x4 = 3