What is the answer to |x^2-5x|=6+x^2 ?

The answer to |x^2-5x|=6+x^2 is x=-6/5

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|x^2-5x|=6+x^2

x^{2} - 5 x = 6 + x^{2}

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

x^{2} - 5 x = 6 + x^{2}

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{6}{5} or No Solution

x = - \frac{6}{5}

∣ x - 0.6 ∣ = 101.7

10 - ∣ 4 x - 6 ∣ = - ∣

4 ∣ 3 n + 5 ∣ + 9 = 9

∣ p - 8 ∣ = 3

∣ 2 x - 1 ∣ + 4 = 10