Question

Solve the quadratic equation using square roots. Be sure to show all work. Type your work here using the equation, (pi) button in the toolbar or upload a picture of your work.

3x^2 – 10 = 17

Answer 1

To solve the quadratic equation 3x^2 – 10 = 17 using square roots, isolate the variable x and then apply the square root property. The solutions to the equation are x = 3 and x = -3.

Step-by-step explanation:

To solve the quadratic equation 3x^2 – 10 = 17 using square roots, we need to isolate the variable x and then apply the square root property.

First, we rearrange the equation to have 0 on one side:
3x^2 – 10 = 17 => 3x^2 = 27 => x^2 = 9

Next, we can take the square root of both sides to solve for x:
x = ±√9
x = ±3

So, the solutions to the quadratic equation are x = 3 and x = -3.