What is the answer to |x-2|+|x-5|=10 ?

The answer to |x-2|+|x-5|=10 is x=-3/2 \lor x= 17/2

Solve for x: |x-2|+|x-5|=10

The solution is x=-3/2 \lor x= 17/2

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∣ x - 2 ∣ + ∣ x - 5 ∣ = 10

x = - \frac{3}{2} or x = \frac{17}{2}

Decimal Notation

x = - 1.5, x = 8.5

Solution steps

∣ x - 2 ∣ + ∣ x - 5 ∣ = 10

Find positive and negative intervals

x < 2, 2 \leq x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution or x = \frac{17}{2}

x = - \frac{3}{2} or x = \frac{17}{2}

∣ x - 2 ∣ + ∣ x - 5 ∣ = 13

(1) x^{2} - 1 = x + 3

20 + 5 ∣ 2 x - 1 ∣ + 5 = 20

7 + 3 ∣ 2 x - 3 ∣ = 5

∣ x ∣^{3} - 3 x^{2} + 3 ∣ x ∣ - 2 = 0

What is the answer to |x-2|+|x-5|=10 ?
The answer to |x-2|+|x-5|=10 is x=-3/2 \lor x= 17/2
Solve for x: |x-2|+|x-5|=10
The solution is x=-3/2 \lor x= 17/2