What is the answer to 3x=|x^2-10| ?

The answer to 3x=|x^2-10| is x=2\lor x=5

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3x=|x^2-10|

3 x = x^{2} - 10

x = 2 or x = 5

Solution steps

3 x = x^{2} - 10

Find positive and negative intervals

x \leq - 10, - 10 < x < 10, x \geq 10

Solve the inequality for each interval

No Solution or x = 2 or x = 5

x = 2 or x = 5

x + 5 = ∣ 2 x ∣

0 = ∣ t - 3 ∣

x^{2} = 1

∣ 5 k + 6 ∣ - 2 = 27

∣ x + 1 ∣ = - 7