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