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

The answer to x^2=-|x|+3 is x=(1-sqrt(13))/2 \lor x=(-1+sqrt(13))/2

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

The solution is x=(1-sqrt(13))/2 \lor x=(-1+sqrt(13))/2

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x^{2} = - ∣ x ∣ + 3

x = \frac{1 - 13}{2} or x = \frac{- 1 + 13}{2}

Decimal Notation

x = - 1.30277 \dots, x = 1.30277 \dots

Solution steps

x^{2} = - ∣ x ∣ + 3

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = \frac{1 - 13}{2} or x = \frac{- 1 + 13}{2}

∣ x + 2 ∣ = 2 x - 1

∣ 9 x - 1 ∣ = 5

12 - 8 ∣ k + 4 ∣ = - 4

∣ 6 x - 2 ∣ + 3 = 15

∣ b + 9 ∣ - 4 = - 12

What is the answer to x^2=-|x|+3 ?
The answer to x^2=-|x|+3 is x=(1-sqrt(13))/2 \lor x=(-1+sqrt(13))/2
Solve for x: x^2=-|x|+3
The solution is x=(1-sqrt(13))/2 \lor x=(-1+sqrt(13))/2