# algebra

posted by .

Solve and simplify, use comma to separate answers:

sqrt:9x+55=x+5

• algebra -

√(9x+55) = x+5
9x+55 = (x+5)^2 = x^2 + 10x + 25

x^2 + x - 30 = 0
(x+6)(x-5) = 0

x = -6,5

Check:
√(-54+55) = √1 = -6+5 = 1
√(45+55) = √100 = 5+5 = 10

## Similar Questions

1. ### math,algebra,help

Directions are simplify by combining like terms. x radiacal 18 -3 radical 8x^2 can someone show me how to do these types of problems. thanks I cant determine the second term. For the first, I think you meant x sqrt(18) which reduces …
2. ### algebra,math,help

Use Property 2 to simplify each of the following radical expressions. sqrt (10)/ sqrt(49) My answer: sqrt (10) / (7) THis next one i need help: Use the properties for radicals to simplify each of the following expressions. Assume that …
3. ### College Algebra

2|4x-4|-4=3 Solve. The solutions are x={_} (Simplify your answers. Type fractions. Use a comma to separate answers.)

1. solve sqrt (11-x) = sqrt(x-7) choices are 6,7,8 or9 I think according to my calcs the answer is (9) The range of f(x) = sqrt(3x-6) - 2 answers would be y<= (-2) y>= (-2) y> (-2) y<=(2) I think the answer is y <= -2, …
5. ### Algebra 2

1. Simplify: sqrt6(sqrt2/2+sqrt3)-sqrt8 2. Simplify: sqrt(72x^3)-5x sqrt(2x) 3. Simplify: (2sqrt6-sqrt3)^2 4. Simplify: 6/3+2sqrt3 5. Solve: 2-y=sqrt(y+4) I need all of the steps. Thanks
6. ### Algebra

Solve sqrt:9x+55=x+5, Simplify and use comma to separate the answers
7. ### Algebra

x^1/2 * y^1/6 *z^1/5. We are to use rational exponents to write an expression. The sqrt of x - the sqrt of y, over the sqrt of x + the sqrt of y. I need to simplify and use radicals as needed. I obviously do but what...?