What is the answer to |x+9|-9=4 ?

The answer to |x+9|-9=4 is x=-22\lor x=4

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|x+9|-9=4

∣ x + 9 ∣ - 9 = 4

x = - 22 or x = 4

Solution steps

∣ x + 9 ∣ - 9 = 4

Move

9

to the right side

∣ x + 9 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 13 or x + 9 = 13

x + 9 = - 13 or x + 9 = 13

x = - 22 or x = 4

3 x - 2 = - 5

4 x^{2} + 68 x - 195

\frac{( 2 + i ) ^{2} + ( 1 - i ) ^{2}}{1 - \frac{3}{2} i}

8 - 2 (3 - x) \leq - 12

144