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

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

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

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

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∣ X - 4 ∣ = X^{2}

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

Decimal Notation

X = - 2.56155 \dots, X = 1.56155 \dots

Solution steps

∣ X - 4 ∣ = X^{2}

Find positive and negative intervals

X < 4, X \geq 4

Solve the inequality for each interval

(X = \frac{- 1 - 17}{2} or X = \frac{- 1 + 17}{2}) or No Solution

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

∣ x ∣ = x, \exists x

∣ - 10 c ∣ = 100

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

4 ∣ 3 x - 6 ∣ + 6 = 2

∣ x - 7 + 6 x ∣ - 6 = 22

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