solve the equation:
1/3x^2+4=8
please help:)
To solve the equation 1/3x^2 + 4 = 8, you can follow these steps:
Step 1: Start by subtracting 4 from both sides of the equation:
1/3x^2 + 4 - 4 = 8 - 4
This simplifies to:
1/3x^2 = 4
Step 2: To get rid of the fraction, you can multiply both sides of the equation by 3:
3 * (1/3x^2) = 3 * 4
This simplifies to:
x^2 = 12
Step 3: Now, to solve for x, take the square root of both sides of the equation:
√(x^2) = √12
This simplifies to:
x = ±√12
Step 4: Simplify the square root of 12:
x = ±√(4 * 3)
x = ±√4 * √3
This simplifies to:
x = ±2√3
So, the solution to the equation 1/3x^2 + 4 = 8 is x = ±2√3.