Question

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

Answer 1

C) y = 4x^2

y = x^2 + 7

Explanation:

Answer 2

See explanation

Explanation:

To solve the equation
`4x^2 =x^2+7` graphically, we need to consider left and right parts of this equation separately.

Left side gives us the function
`y=4x^2.` The graph of this function is shown with green curve in attached diagram.

Right side gives us the function
`y=x^2+7.` The graph of this function is shown with blue curve in attached diagram.

The x-coordinates of the points of their intersections are the solutions to the equation
`4x^2 =x^2+7`

From the graph you can see that the solutions are

`x_1\approx -1.528\\ \\x_2\approx 1.528`