What is the answer to |3x^2-17x+10|=10 ?

The answer to |3x^2-17x+10|=10 is x=0\lor x= 5/3 \lor x=4\lor x= 17/3

Solve for x: |3x^2-17x+10|=10

The solution is x=0\lor x= 5/3 \lor x=4\lor x= 17/3

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3 x^{2} - 17 x + 10 = 10

x = 0 or x = \frac{5}{3} or x = 4 or x = \frac{17}{3}

Decimal

x = 0, x = 1.66666 \dots, x = 4, x = 5.66666 \dots

Solution steps

3 x^{2} - 17 x + 10 = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x^{2} - 17 x + 10 = - 10 or 3 x^{2} - 17 x + 10 = 10

3 x^{2} - 17 x + 10 = - 10 or 3 x^{2} - 17 x + 10 = 10

(x = \frac{5}{3} or x = 4) or (x = 0 or x = \frac{17}{3})

x = 0 or x = \frac{5}{3} or x = 4 or x = \frac{17}{3}

4 ∣ p - 3 ∣ = ∣ 2 p + 8 ∣

∣ 4 x - 6 ∣ = 3 x - 7

∣ 2 x - 8 ∣ = - 14

∣ x - 1 ∣ = x^{2} - x - 1

2 ∣ 4 - x ∣ + 3 ∣ 4 - x ∣ = 25

What is the answer to |3x^2-17x+10|=10 ?
The answer to |3x^2-17x+10|=10 is x=0\lor x= 5/3 \lor x=4\lor x= 17/3
Solve for x: |3x^2-17x+10|=10
The solution is x=0\lor x= 5/3 \lor x=4\lor x= 17/3