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Popular >

2(x-6)^2-5>= 37

Solution

2 (x - 6)^{2} - 5 \geq 37

Solution

x \leq - 21 + 6 or x \geq 21 + 6

+2

Interval Notation

(- \infty, - 21 + 6] \cup [21 + 6, \infty)

Decimal Notation

x \leq 1.41742 \dots or x \geq 10.58257 \dots

Solution steps

2 (x - 6)^{2} - 5 \geq 37

Move

5

to the right side

2 (x - 6)^{2} \geq 42

Divide both sides by

2

(x - 6)^{2} \geq 21

For

u^{n} \geq a

, if

n

is even then

x - 6 \leq - 21 or x - 6 \geq 21

x - 6 \leq - 21 : x \leq - 21 + 6

x - 6 \geq 21 : x \geq 21 + 6

Combine the intervals

x \leq - 21 + 6 or x \geq 21 + 6

Popular Examples

simplify (m^3+8m^2+19m+12)/(m+3)simplify

\frac{m ^{3} + 8 m ^{2} + 19 m + 12}{m + 3}

7(x+5)<= 5(x+1)+36

7 (x + 5) \leq 5 (x + 1) + 36

\frac{7}{12} k = 1

(2 \cdot 4 + 12) (6 - 4)

- y^{2} = 9

Frequently Asked Questions (FAQ)

What is 2(x-6)^2-5>= 37 ?
The solution to 2(x-6)^2-5>= 37 is x<=-sqrt(21)+6\lor x>= sqrt(21)+6