Solve 3x^2-49=0
3x^2 - 49 = 0.
3x^2 = 49
x^2 = 49/3
Take sqrt of both sides:
X = 7/sqrt3
Multiply denominator and numerator by
sqrt3:
X = 7sqrt3/(sqrt3)(sqrt3)
X = 7*sqrt3 / 3 = +- 4.04.
Note: sqrt means Square root.
X = 4.04.
To solve the quadratic equation 3x^2 - 49 = 0, we can follow these steps:
Step 1: Move the constant term to the other side of the equation.
3x^2 = 49
Step 2: Divide both sides of the equation by the coefficient of x^2 to isolate the variable x.
x^2 = 49 / 3
Step 3: Take the square root of both sides of the equation to solve for x.
√x^2 = √(49 / 3)
x = ± √(49 / 3)
Step 4: Simplify the expression under the square root.
x = ± √(49) / √(3)
x = ± 7 / √3
Therefore, the solution to the equation 3x^2 - 49 = 0 is x = ± 7 / √3.