0

# Solve please and Thank you

Solve (Show all work)

√11-x= x+1

### 3 Answers by Expert Tutors

Michael F. | Mathematics TutorMathematics Tutor
4.7 4.7 (6 lesson ratings) (6)
1
√11-x= x+1  add x to both sides and get √11=2x+1 , subtracting 1 from both sides  that -1+√11=2x or that
x=(-1+√11)/2
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
0
Do you mean square root of(11-x) ?
If so, [square root(11-x)]^2=(x+1)^2
11-x=x^2+2x+1
11=x^2+3x+1
0=x^2+3x-10
x^2+3x-10=0
(x+5)(x-2)=0
x+5=0, x=-5
x-2=0, x=2
check: SQRT(11-(-5))=SQRT(16)=4 and x+1=-5+1=-4 but SQRT symbol means principal root
(the nonnegative root)
we don't use -5 as a solution
SQRT(11-2)=SQRT(9)=3 and x+1=2+1=3
we use x=2 as a solution

Given the number of "creative" ways in which some of the questions arrive, I am inclined to your interpretation.
Michael F.
The problem is, Michael, that the square root symbol appears to omit the top horizontal line over the radicand.
Arthur D.
William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
0
(11)½ - x = x + 1

Add x to each side of the equation:

(11)½ = 2x + 1

Subtract 1 from each side of the equation:

(11)½ - 1 = 2x

2x = (11)½ - 1 = 3.317 - 1 = 2.317

∴x = 1.158