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 ((13-3×x×x)+(√(9×x∧4-96×x∧3+346×x∧2-600x+411))÷4÷(x-1) ) >0.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 13 - 3 × x × x ) + ( √ ( 9 × x ^ 4 - 96 × x ^ 3 + 346 × x ^ 2 - 600 * x + 411 ) ) ÷ 4 ÷ ( x - 1 ) ) >0.5 (1)
From the definition field of √
9 × x ^ 4 - 96 × x ^ 3 + 346 × x ^ 2 - 600 * x + 411 ≥ 0 (2 )
From inequality(1):
-1.581564 < x < 0.748685 或 x > 1
From inequality(2):
x ≤ 1.630833 或 x ≥ 5.766527
From inequalities (1) and (2)
-1.581564 < x < 0.748685 或 1 < x ≤ 1.630833 或 x ≥ 5.766527 (3)
The final solution set is :
-1.581564 < x < 0.748685 或 1 < x ≤ 1.630833 或 x ≥ 5.766527Your problem has not been solved here? Please take a look at the hot problems !