What is the answer to |x+10|+1=sqrt(7) ?

The answer to |x+10|+1=sqrt(7) is x=-9-sqrt(7)\lor x=sqrt(7)-11

Solve for x: |x+10|+1=sqrt(7)

The solution is x=-9-sqrt(7)\lor x=sqrt(7)-11

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∣ x + 10 ∣ + 1 = 7

x = - 9 - 7 or x = 7 - 11

Decimal Notation

x = - 11.64575 \dots, x = - 8.35424 \dots

Solution steps

∣ x + 10 ∣ + 1 = 7

Move

1

to the right side

∣ x + 10 ∣ = 7 - 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 10 = - (7 - 1) or x + 10 = 7 - 1

x + 10 = - (7 - 1) or x + 10 = 7 - 1

x = - 9 - 7 or x = 7 - 11

(16 x^{3})^{\frac{3}{2}}

- \frac{1}{6} - (- \frac{1}{8})

- 2 - 6 ∣ 2 x - 9 ∣ < - 38

2 (3 x - 2) > 3 (2 x - 1)

3 X^{2} + 4 X - 2 = 0

What is the answer to |x+10|+1=sqrt(7) ?
The answer to |x+10|+1=sqrt(7) is x=-9-sqrt(7)\lor x=sqrt(7)-11
Solve for x: |x+10|+1=sqrt(7)
The solution is x=-9-sqrt(7)\lor x=sqrt(7)-11