Solve the equation. Check all proposed solutions. Show work in solving and in checking.

√(x+7)-5=x

Solve the equation. Check all proposed solutions. Show work in solving and in checking.

√(x+7)-5=x

Tutors, please sign in to answer this question.

Olney, MD

√(x+7) = x + 5 (Add 5 to both sides)

(√(x+7))^{2} = (x + 5)^{2 } (Square both sides of the equation)

x+7 = x^{2} + 10x + 25 (Multiply out the squares)

0 = x^{2} + 9x +18 (Combine like terms into a quadratic equation)

0 = (x+6)(x+3) (Factor the quadratic)

x= -6, -3

Check by plugging -3 and -6 into the original equation One of the solutions works, one doesn't.

Jing X.

IVY-graduate specializing in SAT, ACT, Math and College App

Brooklyn, NY

4.9
(76 ratings)

Jennifer C.

Experienced Educator Specializing in Test Prep and Enrichment

Brooklyn, NY

5.0
(70 ratings)

Andrea R.

Ph.D. Tutor: K-9 Reading, Math, Writing, Test Prep, Special Needs

Wyckoff, NJ

5.0
(409 ratings)

- Algebra 2 3242
- Algebra 4732
- Math 9029
- Prealgebra 168
- Geometry 1765
- Algebra Help 947
- Algebra Word Problem 2362
- Math Help 5028
- Word Problem 4847
- Precalculus 1446