What is the answer to |x-9|=x^2+3 ?

The answer to |x-9|=x^2+3 is x=-3\lor x=2

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|x-9|=x^2+3

∣ x - 9 ∣ = x^{2} + 3

x = - 3 or x = 2

Solution steps

∣ x - 9 ∣ = x^{2} + 3

Find positive and negative intervals

x < 9, x \geq 9

Solve the inequality for each interval

(x = - 3 or x = 2) or No Solution

x = - 3 or x = 2

- 2 ∣ x + 5 ∣ = 8

∣ - 6 a + 4 ∣ = 14

∣ 2 x + 6 ∣ = 4

- 5 - ∣ 5 k - 7 ∣ = - 8

x, - y = ∣ x ∣