What is the answer to x^2=|x^2-5x|+3 ?

The answer to x^2=|x^2-5x|+3 is x=3

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x^2=|x^2-5x|+3

x^{2} = x^{2} - 5 x + 3

x = 3

Solution steps

x^{2} = x^{2} - 5 x + 3

Find positive and negative intervals

x \leq 0, 0 < x < 5, x \geq 5

Solve the inequality for each interval

No Solution or x = 3

x = 3

2 ∣ z ∣ = ∣ z - 2 ∣

5 - ∣ r + 1 ∣ = 9

\frac{∣ w + 9 ∣}{7} = 2

8 + ∣ 7 + 4 x ∣ = 14

∣ 4 x - 2 ∣ + 10 = 16