Solve 3x^2 -49=0

See your 2:48pm post.

To solve the equation 3x^2 - 49 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 3, b = 0, and c = -49. Plugging these values into the quadratic formula, we get:

x = (-0 ± √(0^2 - 4(3)(-49))) / (2(3))

Simplifying further:

x = (± √(0 + 588)) / 6

x = (± √588) / 6

Now, we simplify the square root of 588:

√588 = √(4 * 147) = √(4 * 3^2 * 7) = 2 * 3√7

Substituting this value back into the equation:

x = (± 2 * 3√7) / 6

We can further simplify this by dividing both the numerator and denominator by 2:

x = (± 3√7) / 3

Finally, we can cancel out the 3's:

x = ± √7

Therefore, the solutions to the equation 3x^2 - 49 = 0 are x = √7 and x = -√7.