What is the answer to |x^2-3|=3x+15 ?

The answer to |x^2-3|=3x+15 is x=-3\lor x=6

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|x^2-3|=3x+15

x^{2} - 3 = 3 x + 15

x = - 3 or x = 6

Solution steps

x^{2} - 3 = 3 x + 15

Find positive and negative intervals

x \leq - 3, - 3 < x < 3, x \geq 3

Solve the inequality for each interval

x = - 3 or No Solution or x = 6

x = - 3 or x = 6

∣ - x + 5 ∣ = ∣ x ∣

∣ x - 3 ∣ = x - ∣ x + 1 ∣

∣ 2 x - 1 ∣ = ∣ x + 2 ∣

∣ b ∣ = 5

x, ∣ x - 1 ∣ + 5 = 2

What is the answer to |x^2-3|=3x+15 ?
The answer to |x^2-3|=3x+15 is x=-3\lor x=6
Solve for x: |x^2-3|=3x+15
The solution is x=-3\lor x=6