Question

What value of x makes this equation true? x2−6=10 Drag and drop the number that correctly completes the equation. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x = Response area

Answer 1

There are two possible values of x that make this equation true. To find them, we need to solve for x by adding 6 to both sides and then taking the square root of both sides.

This gives us:

x2 = 16 x = ±√16 x = ±4

So, x can be either 4 or -4.

We can check these answers by plugging them back into the original equation and seeing if they make it true.

x = 4 (4)2 - 6 = 10 16 - 6 = 10 10 = 10

x = -4 (-4)2 - 6 = 10 16 - 6 = 10 10 = 10

Both values of x satisfy the equation, so they are both correct answers. To complete the response area, we can drag and drop the number 4 or -4 into the input box. For example:x = 4 Response area