What is the answer to |a-5|=a+4 ?

The answer to |a-5|=a+4 is a= 1/2

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|a-5|=a+4

∣ a - 5 ∣ = a + 4

a = \frac{1}{2}

Decimal Notation

a = 0.5

Solution steps

∣ a - 5 ∣ = a + 4

Find positive and negative intervals

a < 5, a \geq 5

Solve the inequality for each interval

a = \frac{1}{2} or No Solution

a = \frac{1}{2}

∣ 6 x + 9 ∣ = 3

∣ n ∣ = - 2

∣ - 9 + x ∣ = 3

∣ x + 3 ∣ = 3^{x} + 1

3 ∣ 2 x - 4 ∣ = 0