math subject

posted by .

make (a) the subject

2a+squareroot of 2a^2=10

  • math subject -

    2a + sqrt(2a^2) = 10,

    Isolate the radical:
    2a - 10 = -sqrt(2a^2),
    Square both sides:
    4a^2 - 40a + 100 = 2a^2,
    4a^2 - 2a^2 - 40a + 100 = 0,
    2a^2 - 40a + 100 = 0,
    Divide both sides by 2:
    a^2 - 20a + 50 = 0,
    Solve for a using the quadratic formula:

    a = (20 +- sqrt(400 - 200) / 2,
    (20 +- sqrt(100 * 2) / 2,
    a = (20 +- 10 * sqrt(2)) / 2,
    a = 10 +- 5 * sqrt(2),
    a = 10 +- 7.07,

    a = 17,07, and 2.93.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Grammar

    In the following sentence, I am supposed to tell what is the simple subject and what is the complete subject. It was suggested that the mother apply aloe vera four times daily. Is the simple subject it?
  2. math

    Make f the subject of the formula D = squareroot p/f-p
  3. 12th grade maths

    just like to check if ive got these right. if not can you help?
  4. 12th grade maths

    just like to check if ive got these right. if not can you help?
  5. math subject

    make (a) the subject 2a+ã2a^2=10 please and thank you (the 2a^2 is all spuare rooted)
  6. social studies

    Which of the following best describes the difference between a keyword and subject search?
  7. Algebra

    I need some help figuring these. Compute each product and simplify the result. I don't have the squareroot sign so put that meaning that's where it goes with the number after it. 1. (0.3 Squareroot of 5)^2 2. (2+ squareroot of 5)^2 …
  8. Algebra

    I need some help figuring these. Compute each product and simplify the result. I don't have the squareroot sign so put that meaning that's where it goes with the number after it. 1. (0.3 Squareroot of 5)^2 2. (2+ squareroot of 5)^2 …
  9. maths-check my answers

    Please check my answers 1) make c the subject of the formula a=b+cd----------b-a/d=c 2) make t the subject of the formula u=v+2t----------u-v/2=t 3) make n the subject of the formula m=3n+5--------m-5/3=n 4) make z the subject of the …
  10. social studies

    In a biography, all of the following would be a primary source except for which one?

More Similar Questions