make (a) the subject
2a+�ã2a^2=10
please and thank you
(the 2a^2 is all spuare rooted)
2a + sqrt (2a^2)=10
a(2+sqrt2)=10
a=10/(3.141)
Square root of a^2 = a
Factor out a.
a(2 + sqrt2) = 10
Sqrt 2 = 1.4142 = 1.41
a(2 + 1.41) = 3.41a = 10
Divide both sides by 3.41.
x = 10/3.41 = 2.93
To make "a" the subject in the equation 2a + 2√(a^2) = 10, we need to isolate "a" on one side of the equation. Here's how you can do it step by step:
1. Start with the equation: 2a + 2√(a^2) = 10
2. Subtract 2√(a^2) from both sides of the equation to get rid of it on the left side:
2a = 10 - 2√(a^2)
3. To simplify the right side of the equation, we can square both sides. This will remove the square root:
(2a)^2 = (10 - 2√(a^2))^2
4a^2 = (10 - 2√(a^2))^2
4. Expand the square on the right side by multiplying:
4a^2 = (10 - 2√(a^2)) * (10 - 2√(a^2))
4a^2 = 100 - 20√(a^2) - 20√(a^2) + 4(a^2)
4a^2 = 100 - 40√(a^2) + 4(a^2)
4a^2 - 4(a^2) = 100 - 40√(a^2)
0 = 100 - 40√(a^2)
5. Move the term with the square root to the right side of the equation:
40√(a^2) = 100
6. Divide both sides of the equation by 40 to isolate the square root of (a^2):
√(a^2) = 100 / 40
√(a^2) = 2.5
7. Since we are looking for the value of "a" and the square root of (a^2) equals "a" itself, we can write:
a = 2.5
So, "a" is the subject of the equation, and its value is 2.5.