What numbers multiply to get 3.5 and add to get 4
1- First number is:1.29289321881
2-2nd number is :2.70710678119
Solve for x:
x (4-x) = 3.5
3.5 = 7/2:
x (4-x) = 7/2
Expand out terms of the left hand side:
4 x-x^2 = 7/2
Multiply both sides by -1:
x^2-4 x = -7/2
Add 4 to both sides:
x^2-4 x+4 = 1/2
Write the left hand side as a square:
(x-2)^2 = 1/2
Take the square root of both sides:
x-2 = 1/sqrt(2) or x-2 = -1/sqrt(2)
Add 2 to both sides:
x = 2+1/sqrt(2) or x-2 = -1/sqrt(2)
Add 2 to both sides:
Answer: |
| x = 2+1/sqrt(2) or x = 2-1/sqrt(2)