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

Respond to this Question

First Name
School Subject
Your Answer

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 …
  3. Advanced Algebra

    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