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Popular >

(x-7)^2<x-5

Solution

(x - 7)^{2} < x - 5

Solution

6 < x < 9

+1

Interval Notation

(6, 9)

Solution steps

(x - 7)^{2} < x - 5

Rewrite in standard form

x^{2} - 15 x + 54 < 0

Factor

x^{2} - 15 x + 54 : (x - 6) (x - 9)

(x - 6) (x - 9) < 0

Identify the intervals

6 < x < 9

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((6))/((x^2-4x+4))>0

\frac{( 6 )}{( x ^{2} - 4 x + 4 )} > 0

Frequently Asked Questions (FAQ)

What is (x-7)^2<x-5 ?
The solution to (x-7)^2<x-5 is 6<x<9