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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(-x^2+2x+3) <15/8 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( -x ^ 2 + 2 * x + 3 ) <15 / 8 (1)
From the definition field of √
-x ^ 2 + 2 * x + 3 ≥ 0 (2 )
From inequality(1):
x < 0.304029 或 x > 1.695971
From inequality(2):
-1 ≤ x ≤ 3
From inequalities (1) and (2)
-1 ≤ x < 0.304029 或 1.695971 < x ≤ 3 (3)
The final solution set is :
-1 ≤ x < 0.304029 或 1.695971 < x ≤ 3 Your problem has not been solved here? Please take a look at the hot problems !