Question

解一道很简单的方程,只要结果!(4-(根号下((5-x)^2-(3/5(5-x))^2)))^2+(3/5(5-x))^

Answer 1

(4-(根号下((5-x)^2-(3/5(5-x))^2)))^2+(3/5(5-x))^2=9

(4-|5-x|根号下((25-9)/25))^2+(3/5(5-x))^2=9

设a=|5-x|

(4-4/5)a)^2+9/25*a^2=9

16+16/25*a^2-32/5a+9/25*a^2-9=0

5a^2-32a+35=0

(5a-7)(a-5)=0

a=7/5或5

x=32/5或18/5或0或10