solve the equation using square roots 3x^2 -10=38

Answer 1

First, move the constant term to the other side of the equation by subtracting 38 from both sides:

3x^2 - 10 = 38
3x^2 = 48

Next, isolate x^2 by dividing both sides by 3:

x^2 = 16

Now take the square root of both sides to solve for x:

x = ±√16
x = ±4

So, the solutions to the equation 3x^2 - 10 = 38 are x = 4 and x = -4.