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

The answer to |x^2-5x|=6-x^2 is x=(5-sqrt(73))/4 \lor x= 6/5

Solve for x: |x^2-5x|=6-x^2

The solution is x=(5-sqrt(73))/4 \lor x= 6/5

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

x = \frac{5 - 73}{4} or x = \frac{6}{5}

Decimal Notation

x = - 0.88600 \dots, 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{5 - 73}{4} or x = \frac{6}{5} or No Solution

x = \frac{5 - 73}{4} or x = \frac{6}{5}

x^{3} ∣ x + 3 ∣ = 12

- 7 = \frac{a - 3}{- 2}

3 + ∣ 3 x + 4 ∣ = - 3

18 = 9 ∣ 6 - 8 m ∣

x - 8 = 5

What is the answer to |x^2-5x|=6-x^2 ?
The answer to |x^2-5x|=6-x^2 is x=(5-sqrt(73))/4 \lor x= 6/5
Solve for x: |x^2-5x|=6-x^2
The solution is x=(5-sqrt(73))/4 \lor x= 6/5