What is the answer to |x^2-9x+8|=10 ?

The answer to |x^2-9x+8|=10 is x=(9-sqrt(89))/2 \lor x=3\lor x=6\lor x=(9+sqrt(89))/2

Solve for x: |x^2-9x+8|=10

The solution is x=(9-sqrt(89))/2 \lor x=3\lor x=6\lor x=(9+sqrt(89))/2

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x^{2} - 9 x + 8 = 10

x = \frac{9 - 89}{2} or x = 3 or x = 6 or x = \frac{9 + 89}{2}

Decimal

x = - 0.21699 \dots, x = 3, x = 6, x = 9.21699 \dots

Solution steps

x^{2} - 9 x + 8 = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 9 x + 8 = - 10 or x^{2} - 9 x + 8 = 10

x^{2} - 9 x + 8 = - 10 or x^{2} - 9 x + 8 = 10

(x = 3 or x = 6) or (x = \frac{9 - 89}{2} or x = \frac{9 + 89}{2})

x = \frac{9 - 89}{2} or x = 3 or x = 6 or x = \frac{9 + 89}{2}

∣ x - 2 ∣ = 3 ∣ x - 6 ∣

2 - ∣ x - 7 ∣ = - 3

- 3 ∣ x + 5 ∣ - 2 = 22

5 x - 4 + ∣ x + 5 ∣ = 4 x + 3

2 ∣ 2 x - 4 ∣ - 9 = 11

What is the answer to |x^2-9x+8|=10 ?
The answer to |x^2-9x+8|=10 is x=(9-sqrt(89))/2 \lor x=3\lor x=6\lor x=(9+sqrt(89))/2
Solve for x: |x^2-9x+8|=10
The solution is x=(9-sqrt(89))/2 \lor x=3\lor x=6\lor x=(9+sqrt(89))/2