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

The answer to x^2+x-3=|x| is x=-3\lor x=sqrt(3)

Solve for x: x^2+x-3=|x|

The solution is x=-3\lor x=sqrt(3)

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x^{2} + x - 3 = ∣ x ∣

x = - 3 or x = 3

Decimal Notation

x = - 3, x = 1.73205 \dots

Solution steps

x^{2} + x - 3 = ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

∣ z + 1 ∣ = z - 1

- 2 ∣ 3 x - 6 ∣ + 9 = 3

2 ∣ x - 3 ∣ + 1 = 9

2 ∣ x - 3 ∣ + 1 = 2

- 4 + \frac{1}{2} x = 2

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