What is the answer to x^2-3x+11=|x-5|+13 ?

The answer to x^2-3x+11=|x-5|+13 is x=1-2sqrt(2)\lor x=1+2sqrt(2)

Solve for x: x^2-3x+11=|x-5|+13

The solution is x=1-2sqrt(2)\lor x=1+2sqrt(2)

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x^{2} - 3 x + 11 = ∣ x - 5 ∣ + 13

x = 1 - 22 or x = 1 + 22

Decimal

x = - 1.82842 \dots, x = 3.82842 \dots

Solution steps

x^{2} - 3 x + 11 = ∣ x - 5 ∣ + 13

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

(x = 1 - 22 or x = 1 + 22) or No Solution

x = 1 - 22 or x = 1 + 22

∣ 7 - 9 v ∣ - 4 = 52

x^{2} - ∣ x ∣ = 6

\frac{∣ x + 4 ∣}{10} = - 1

7 ∣ x + 2 ∣ + 5 x = 0

- 2 ∣ x - 3 ∣ + 8 = - 4

What is the answer to x^2-3x+11=|x-5|+13 ?
The answer to x^2-3x+11=|x-5|+13 is x=1-2sqrt(2)\lor x=1+2sqrt(2)
Solve for x: x^2-3x+11=|x-5|+13
The solution is x=1-2sqrt(2)\lor x=1+2sqrt(2)