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Popular >

|x^2-36|<1

Solution

x^{2} - 36 < 1

Solution

- 37 < x < - 35 or 35 < x < 37

+2

Interval Notation

(- 37, - 35) \cup (35, 37)

Decimal Notation

- 6.08276 \dots < x < - 5.91607 \dots or 5.91607 \dots < x < 6.08276 \dots

Solution steps

x^{2} - 36 < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x^{2} - 36 < 1

x^{2} - 36 > - 1 and x^{2} - 36 < 1

(x < - 35 or x > 35) and - 37 < x < 37

Merge Overlapping Intervals

- 37 < x < - 35 or 35 < x < 37

Popular Examples

16 x^{2} + 25 = 0

(7 + 10 - x) - 4 = 6

18x-5=6x-(x+2)+(x+3)

18 x - 5 = 6 x - (x + 2) + (x + 3)

1.75 t + 1 = 4.5

simplify (-3/2)^2-9-((-3/2)^2+3(-3/2))simplify

(- \frac{3}{2})^{2} - 9 - ((- \frac{3}{2})^{2} + 3 (- \frac{3}{2}))

Frequently Asked Questions (FAQ)

What is |x^2-36|<1 ?
The solution to |x^2-36|<1 is -sqrt(37)<x<-sqrt(35)\lor sqrt(35)<x<sqrt(37)