What is the answer to |x-1||x+5|=7 ?

The answer to |x-1||x+5|=7 is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2

Solve for x: |x-1||x+5|=7

The solution is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ x - 1 ∣ ∣ x + 5 ∣ = 7

x = - 6 or x = - 2 - 2 or x = - 2 + 2 or x = 2

Solution steps

∣ x - 1 ∣ ∣ x + 5 ∣ = 7

Find positive and negative intervals

x < - 5, - 5 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 6 or (x = - 2 - 2 or x = - 2 + 2) or x = 2

x = - 6 or x = - 2 - 2 or x = - 2 + 2 or x = 2

x^{2} + 6 x + 6 = x^{2} + 4 x + 9 + ∣ 2 x - 3 ∣

x^{2} + 3 x + 2 + x + 1 = 0

x^{2} - 4 x + 2 = \frac{( 5 x - 4 )}{3}

∣ x ∣ - 2 ∣ x + 1 ∣ + 3 ∣ x + 2 ∣ = 0

x^{3} + x^{2} + x + 1 = x^{3} + 1 + x^{2} + x

What is the answer to |x-1||x+5|=7 ?
The answer to |x-1||x+5|=7 is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2
Solve for x: |x-1||x+5|=7
The solution is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2