What is the answer to |5x^2-25x+25|=5 ?

The answer to |5x^2-25x+25|=5 is x=1\lor x=2\lor x=3\lor x=4

Solve for x: |5x^2-25x+25|=5

The solution is x=1\lor x=2\lor x=3\lor x=4

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5 x^{2} - 25 x + 25 = 5

x = 1 or x = 2 or x = 3 or x = 4

Solution steps

5 x^{2} - 25 x + 25 = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x^{2} - 25 x + 25 = - 5 or 5 x^{2} - 25 x + 25 = 5

5 x^{2} - 25 x + 25 = - 5 or 5 x^{2} - 25 x + 25 = 5

(x = 2 or x = 3) or (x = 1 or x = 4)

x = 1 or x = 2 or x = 3 or x = 4

3 + ∣ x - 3 ∣ = 4 x

3 ∣ x + 2 ∣ = 18

∣ t + 8 ∣ = 11

∣ 2 x - 9 ∣ = 7

∣ 3 x + 8 ∣ = 6

What is the answer to |5x^2-25x+25|=5 ?
The answer to |5x^2-25x+25|=5 is x=1\lor x=2\lor x=3\lor x=4
Solve for x: |5x^2-25x+25|=5
The solution is x=1\lor x=2\lor x=3\lor x=4