Question

一道解方程的数学题

4.8^2+(x/3)^2=x^2 怎么解，我要详细的步骤

Answer 1

解:原式移项后可得
x平方-(x/3)平方=4.8平方
(x-x/3)平方=4.8平方
(x-x/3)绝对值=4.8
即:x-x/3=4.8 (2/3)x=4.8 x=7.2
或x-x/3=-4.8 (2/3)x=-4.8 x=-7.2

Answer 2

4.8^2+(x/3)^2=x^2
x^2-x^2/9=4.8^2
8/9x^2=4.8^2
x^2=9/8*4.8^2
x=3.6√2或x=-3.6√2