how do i solve this equation?
21(X-(1/7))^2= 3/7
thx
Divide both sides by 21
Take the square root of both sides.
Rewrite it as
x - (1/7)= sqrt [(1/21)*(3/7)]
= sqrt[(1/7)*(1/3)(1/7)]
= (1/7) sqrt(1/3)
x = (1/7)[1 + sqrt(1/3)]
tahnks
x=(2)/(7),0
To solve this equation, follow these steps:
1. Start by dividing both sides of the equation by 21 to isolate the expression (X-(1/7))^2 on the left side:
(X-(1/7))^2 = (3/7) / 21
Simplifying the right side gives:
(X-(1/7))^2 = 1/49
2. Next, take the square root of both sides to eliminate the squared term on the left side:
sqrt((X-(1/7))^2) = sqrt(1/49)
Simplify by removing the square root and keeping the positive and negative square root solutions:
X-(1/7) = ±1/7
3. Now, let's solve for X. Start with the positive square root solution:
X-(1/7) = 1/7
Add (1/7) to both sides to isolate X:
X = 1/7 + 1/7
Simplify the right side:
X = 2/7
Thus, the positive square root solution is X = 2/7.
4. Now, let's solve for X using the negative square root solution:
X-(1/7) = -1/7
Add (1/7) to both sides to isolate X:
X = -1/7 + 1/7
Simplify the right side:
X = 0
Thus, the negative square root solution is X = 0.
Therefore, the two solutions to the equation are X = 2/7 and X = 0.