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Popular >

x^2-5x+3>x

Solution

x^{2} - 5 x + 3 > x

Solution

x < - 6 + 3 or x > 6 + 3

+2

Interval Notation

(- \infty, - 6 + 3) \cup (6 + 3, \infty)

Decimal Notation

x < 0.55051 \dots or x > 5.44948 \dots

Solution steps

x^{2} - 5 x + 3 > x

Rewrite in standard form

x^{2} - 6 x + 3 > 0

Complete the square

x^{2} - 6 x + 3 : (x - 3)^{2} - 6

(x - 3)^{2} - 6 > 0

Move

6

to the right side

(x - 3)^{2} > 6

For

u^{n} > a

, if

n

is even then

x - 3 < - 6 or x - 3 > 6

x - 3 < - 6 : x < - 6 + 3

x - 3 > 6 : x > 6 + 3

Combine the intervals

x < - 6 + 3 or x > 6 + 3

Popular Examples

x^{2} - 2 x \leq 3

2x+5+2x+3x=2x+0

2 x + 5 + 2 x + 3 x = 2 x + 0

factor 2^{n+1}+3(2^n)+2^{n-1}factor

2^{n + 1} + 3 (2^{n}) + 2^{n - 1}

factor 2m^2-3m+1 factor

2 m^{2} - 3 m + 1

a - (- 3.75) = 6.11

Frequently Asked Questions (FAQ)

What is x^2-5x+3>x ?
The solution to x^2-5x+3>x is x<-sqrt(6)+3\lor x>sqrt(6)+3