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Popular >

x^2+(10-x)^2<52

Solution

x^{2} + (10 - x)^{2} < 52

Solution

4 < x < 6

+1

Solution steps

x^{2} + (10 - x)^{2} < 52

Rewrite in standard form

x^{2} - 10 x + 24 < 0

Factor

x^{2} - 10 x + 24 : (x - 4) (x - 6)

(x - 4) (x - 6) < 0

Identify the intervals

4 < x < 6

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Frequently Asked Questions (FAQ)

What is x^2+(10-x)^2<52 ?
The solution to x^2+(10-x)^2<52 is 4<x<6