Steps to solve equations with absolute values:

1: Isolate the absolute value expression,

2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation,

3:Solve for the unknown in both equations.

Solve each equation for the variable:

Question 1: Solve the equation ∣x - 5∣ = x^{2} + 3

Question 2: Solve the equation ∣x - 2∣ = 7

Question 3: Solve the equation ∣x^{2}∣ = 36.

Question 4: Solve the equation ∣x^{2} + x∣ = 6.

Question 5: Solve the equation ∣9 - 2x∣ = 15

Question 6: Solve the equation 5 + 2∣x∣ = 17

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