What is the answer to (x+6)/5 =sqrt(|x|) ?

The answer to (x+6)/5 =sqrt(|x|) is x=-1,x=4,x=9

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(x+6)/5 =sqrt(|x|)

\frac{x + 6}{5} = ∣ x ∣

x = - 1, x = 4, x = 9

Solution steps

\frac{x + 6}{5} = ∣ x ∣

Multiply both sides by

5

\frac{x + 6}{5} \cdot 5 = ∣ x ∣ \cdot 5

Simplify

x + 6 = ∣ x ∣ \cdot 5

Square both sides:

x^{2} + 12 x + 36 = 25 ∣ x ∣

x^{2} + 12 x + 36 = 25 ∣ x ∣

Solve

x^{2} + 12 x + 36 = 25 ∣ x ∣ : x = - 36 or x = - 1 or x = 4 or x = 9

x = - 36, x = - 1, x = 4, x = 9

Verify Solutions:

x = - 36

False

, x = - 1

True

, x = 4

True

, x = 9

True

The solutions are

x = - 1, x = 4, x = 9

4 (w + 1) + w = 8 (w - 1) + 6

3 x^{2} + 3 x + 2 = 0

\frac{1}{3} (12 x - 24) = 16

2 (x + 2) = 10

9 x^{2} - 48 x + 64 = 0

What is the answer to (x+6)/5 =sqrt(|x|) ?
The answer to (x+6)/5 =sqrt(|x|) is x=-1,x=4,x=9
Solve for x: (x+6)/5 =sqrt(|x|)
The solution is x=-1,x=4,x=9