Mathematics
语言:中文
Language:English

current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality √(R^2-468.72)+16-(√(R^2-240.25)) ≥37.5-26.846 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         √ ( R ^ 2 - 468.72 ) + 16 - ( √ ( R ^ 2 - 240.25 ) ) ≥37.5 - 26.846         (1)
        From the definition field of √
         x ^ 2 - 468.72 ≥ 0        (2 )
        From the definition field of √
         x ^ 2 - 240.25 ≥ 0        (3 )

    From inequality(1):
         R ≤ -28.604802 或  R ≥ 28.604802
    From inequality(2):
         R ≤ -√11718/5 或  R ≥ √11718/5
    From inequality(3):
         R ≤ -31/2 或  R ≥ 31/2

    From inequalities (1) and (2)
         R ≤ -28.604802 或  R ≥ 28.604802    (4)
    From inequalities (3) and (4)
         R ≤ -28.604802 或  R ≥ 28.604802    (5)

    The final solution set is :

         R ≤ -28.604802 或  R ≥ 28.604802




Your problem has not been solved here? Please take a look at the  hot problems !


Return