# algebra

posted by .

solve:
the square root of (x) +2= the square root of (5-x) +3

• algebra -

x = 4 is the answer, if you take the positive square roots. There may be other answers if you take the negative square root on one or both sides.

I got that by trial and error, not by using algebra. The algebra got too messy.

• algebra -

Whatever roots exist must be between x = 0 and 5, otherwise you get imaginary numbers. As I said in a previous post, x=4 is the answer is you take postive squate roots on both sides. x=1 is also an answer, if you take the positive root of 1 on the left and the negative root of 4 on the right.

• algebra -

Here is the algebraic proof:
sqrt(x) + 2 = sqrt(5-x) + 3
sqrt(x) -1 = sqrt(5-x)
2x = 2 sqrt(x) +4
x = sqrt(x) + 2
Let sqrt(x) = y, and you have a quadratic equation:
y^2 -y +2 = (y-2)(y+1) = 0
y = 2 or -1
x = y^2 = 4 or 1

## Similar Questions

1. ### algebra

1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong---> - square root of six is not a solution Hope this Helps! 1)find p(-3)if p(x)=4x^3-5x^2+7x-10 =-184 2)If r(x)=4x^2-3x+7,find …
2. ### Algebra

Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 - square …

Can you please explain to me how I can solve these problems?
4. ### Algebra

Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed …
5. ### Math simplifying mixed radicals

Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root: 2 square root 48 3 square root 81 6 square root 12 …
6. ### Math simplifying mixed radicals

Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed …
7. ### Math ~CHECK MY ANSWER~

1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers?
8. ### algebra

Which shows the expressions in the order they would appear on a number line from least to greatest?
9. ### Algebra

Put in order from smallest to largest 12 6 square root 5 20 9 square root 6 16 square root 7 5 -48 11 8 - square root 3 -60 5/6 2 square root 5/5 - square root 3 +2/5 The square root us confusing my son. Thanks so much
10. ### math

1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers?

More Similar Questions