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Popular >

x^2+3>4x

Solution

x^{2} + 3 > 4 x

Solution

x < 1 or x > 3

+1

Interval Notation

(- \infty, 1) \cup (3, \infty)

Solution steps

x^{2} + 3 > 4 x

Rewrite in standard form

x^{2} + 3 - 4 x > 0

Factor

x^{2} + 3 - 4 x : (x - 1) (x - 3)

(x - 1) (x - 3) > 0

Identify the intervals

x < 1 or x > 3

Popular Examples

((x^2+2x-3))/((x^2+1))<0

\frac{( x ^{2} + 2 x - 3 )}{( x ^{2} + 1 )} < 0

((x-2))/((x^2+1))<= 0

\frac{( x - 2 )}{( x ^{2} + 1 )} \leq 0

(((x^2-5)(x^2-4)))/((x-1))<= 0

\frac{( ( x ^{2} - 5 ) ( x ^{2} - 4 ) )}{( x - 1 )} \leq 0

((x^2-5x+12))/((x^2-4x+5))>3

\frac{( x ^{2} - 5 x + 12 )}{( x ^{2} - 4 x + 5 )} > 3

((2x-x^2))/(((3+x)(5-x)))<0

\frac{( 2 x - x ^{2} )}{( ( 3 + x ) ( 5 - x ) )} < 0

Frequently Asked Questions (FAQ)

What is x^2+3>4x ?
The solution to x^2+3>4x is x<1\lor x>3