What is the answer to |6x|=x^2-7 ?

The answer to |6x|=x^2-7 is x=-7\lor x=7

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|6x|=x^2-7

∣ 6 x ∣ = x^{2} - 7

x = - 7 or x = 7

Solution steps

∣ 6 x ∣ = x^{2} - 7

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 7 or x = 7

5 - ∣ n - 9 ∣ = 3

∣ 4 x - 4 ∣ = 16

∣ b ∣ + 4 = 8

∣ x ∣ = x^{3}

∣ 100 - x ∣ = 50