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Popular >

|x^2-26|>0

Solution

x^{2} - 26 > 0

Solution

x < - 26 or - 26 < x < 26 or x > 26

+2

Interval Notation

(- \infty, - 26) \cup (- 26, 26) \cup (26, \infty)

Decimal Notation

x < - 5.09901 \dots or - 5.09901 \dots < x < 5.09901 \dots or x > 5.09901 \dots

Solution steps

x^{2} - 26 > 0

Apply absolute rule: If

∣ u ∣ > 0

then

u < 0

or

u > 0

x^{2} - 26 < 0 or x^{2} - 26 > 0

x^{2} - 26 < 0 or x^{2} - 26 > 0

- 26 < x < 26 or (x < - 26 or x > 26)

Merge Overlapping Intervals

x < - 26 or - 26 < x < 26 or x > 26

Popular Examples

simplify sqrt(50)+sqrt(2)simplify

50 + 2

\frac{a}{13} \geq - 8

simplify 3/5*5/6 simplify

\frac{3}{5} \cdot \frac{5}{6}

(3)(2-(3))((3)-4)<= 0

(3) (2 - (3)) ((3) - 4) \leq 0

factor x^2-5x factor

x^{2} - 5 x

Frequently Asked Questions (FAQ)

What is |x^2-26|>0 ?
The solution to |x^2-26|>0 is x<-sqrt(26)\lor-sqrt(26)<x<sqrt(26)\lor x>sqrt(26)