# math subject

posted by .

make (a) the subject

2a+squareroot of 2a^2=10

• math subject -

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

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.

## 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

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

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 …