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Popular >

(x-3)^2-4x>-16

Solution

(x - 3)^{2} - 4 x > - 16

Solution

x < 5 or x > 5

+1

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

(x - 3)^{2} - 4 x > - 16

Rewrite in standard form

x^{2} - 10 x + 25 > 0

Factor

x^{2} - 10 x + 25 : (x - 5)^{2}

(x - 5)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

x - 5 < 0 or x - 5 > 0

x - 5 < 0 : x < 5

x - 5 > 0 : x > 5

Combine the intervals

x < 5 or x > 5

Popular Examples

((x+1))/((x-1))<0

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

solvefor x,9x-71>3(3x-7u)solve for

x, 9 x - 71 > 3 (3 x - 7 u)

y^{2} < 1

x < x^{2}

((x^2+2x+2))/(((x-2)(x+3)))>0

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

Frequently Asked Questions (FAQ)

What is (x-3)^2-4x>-16 ?
The solution to (x-3)^2-4x>-16 is x<5\lor x>5