What is the answer to |x-4|=x^2-6x+9 ?

The answer to |x-4|=x^2-6x+9 is x=(5-sqrt(5))/2 \lor x=(5+sqrt(5))/2

Solve for x: |x-4|=x^2-6x+9

The solution is x=(5-sqrt(5))/2 \lor x=(5+sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ x - 4 ∣ = x^{2} - 6 x + 9

x = \frac{5 - 5}{2} or x = \frac{5 + 5}{2}

Decimal Notation

x = 1.38196 \dots, x = 3.61803 \dots

Solution steps

∣ x - 4 ∣ = x^{2} - 6 x + 9

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

(x = \frac{5 - 5}{2} or x = \frac{5 + 5}{2}) or No Solution

x = \frac{5 - 5}{2} or x = \frac{5 + 5}{2}

5 x^{2} - 23 x - 10

3 x^{2} - 6 x + 1

\frac{3}{12} \cdot \frac{2}{11}

4 a^{3} b + 8 a^{2} b^{2} - 4 a b^{2} - 2 a^{2} b

What is the answer to |x-4|=x^2-6x+9 ?
The answer to |x-4|=x^2-6x+9 is x=(5-sqrt(5))/2 \lor x=(5+sqrt(5))/2
Solve for x: |x-4|=x^2-6x+9
The solution is x=(5-sqrt(5))/2 \lor x=(5+sqrt(5))/2