What is the answer to 4-x^2=|x| ?

The answer to 4-x^2=|x| is x=-(-1+sqrt(17))/2 \lor x=(sqrt(17)-1)/2

Solve for x: 4-x^2=|x|

The solution is x=-(-1+sqrt(17))/2 \lor x=(sqrt(17)-1)/2

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4 - x^{2} = ∣ x ∣

x = - \frac{- 1 + 17}{2} or x = \frac{17 - 1}{2}

Decimal Notation

x = - 1.56155 \dots, x = 1.56155 \dots

Solution steps

4 - x^{2} = ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{- 1 + 17}{2} or x = \frac{17 - 1}{2}

∣ m + 3 ∣ = 13

∣ x - 5 ∣ = 5 x + 3

∣ x + 5 ∣ + 9 = 8

∣ - 3 x ∣ + 4 = 7

∣ 2 x + 7 ∣ + 2 = 11

What is the answer to 4-x^2=|x| ?
The answer to 4-x^2=|x| is x=-(-1+sqrt(17))/2 \lor x=(sqrt(17)-1)/2
Solve for x: 4-x^2=|x|
The solution is x=-(-1+sqrt(17))/2 \lor x=(sqrt(17)-1)/2