What is the answer to x^2+|x-5|-5=0 ?

The answer to x^2+|x-5|-5=0 is x=0\lor x=1

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x^2+|x-5|-5=0

x^{2} + ∣ x - 5 ∣ - 5 = 0

x = 0 or x = 1

Solution steps

x^{2} + ∣ x - 5 ∣ - 5 = 0

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

(x = 0 or x = 1) or No Solution

x = 0 or x = 1

∣ - 4 x - 8 ∣ = 12

∣ 6 x - 5 ∣ + 3 = 9

- x^{2} + 6 = ∣ x ∣

3 ∣ 4 x - 1 ∣ = 9

∣ 3 x ∣ - 4 = 11

What is the answer to x^2+|x-5|-5=0 ?
The answer to x^2+|x-5|-5=0 is x=0\lor x=1
Solve for x: x^2+|x-5|-5=0
The solution is x=0\lor x=1