What is the answer to |x^2-8x+7|=2x-9 ?

The answer to |x^2-8x+7|=2x-9 is x=3+sqrt(11)\lor x=8

Solve for x: |x^2-8x+7|=2x-9

The solution is x=3+sqrt(11)\lor x=8

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x^{2} - 8 x + 7 = 2 x - 9

x = 3 + 11 or x = 8

Decimal Notation

x = 6.31662 \dots, x = 8

Solution steps

x^{2} - 8 x + 7 = 2 x - 9

Find positive and negative intervals

x \leq 1, 1 < x < 7, x \geq 7

Solve the inequality for each interval

No Solution or x = 3 + 11 or x = 8

x = 3 + 11 or x = 8

∣ x - 1 ∣ + ∣ x - 3 ∣ = 4

7 ∣ x ∣ - 3 = 0

∣ x - 1 ∣ + 2 = ∣ 3 x + 1 ∣

\frac{x - 4}{2} = 2

∣ x - 2 ∣ + ∣ x - 4 ∣ = 7

What is the answer to |x^2-8x+7|=2x-9 ?
The answer to |x^2-8x+7|=2x-9 is x=3+sqrt(11)\lor x=8
Solve for x: |x^2-8x+7|=2x-9
The solution is x=3+sqrt(11)\lor x=8