What is the answer to |x|^2+2|x|-3=0 ?

The answer to |x|^2+2|x|-3=0 is x=-1\lor x=1

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|x|^2+2|x|-3=0

∣ x ∣^{2} + 2 ∣ x ∣ - 3 = 0

x = - 1 or x = 1

Solution steps

∣ x ∣^{2} + 2 ∣ x ∣ - 3 = 0

Factor

∣ x ∣^{2} + 2 ∣ x ∣ - 3 : (∣ x ∣ - 1) (∣ x ∣ + 3)

(∣ x ∣ - 1) (∣ x ∣ + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

∣ x ∣ - 1 = 0 or ∣ x ∣ + 3 = 0

Solve

∣ x ∣ - 1 = 0 : x = - 1 or x = 1

Solve

∣ x ∣ + 3 = 0 :

No Solution for

x \in R

The solution is

x = - 1 or x = 1

∣ - 1 ∣

4 x^{3} + 43 x^{2} + 30 x

x^{2} = - 624

3 (5 - 2 x) \geq - 4 x + 7

(x - y)^{2} - (a + b)^{2}

What is the answer to |x|^2+2|x|-3=0 ?
The answer to |x|^2+2|x|-3=0 is x=-1\lor x=1
Solve for x: |x|^2+2|x|-3=0
The solution is x=-1\lor x=1