Answer:
See explanation
Step-by-step explanation:
To solve the equation [tex]4x^2 =x^2+7[/tex] graphically, we need to consider left and right parts of this equation separately.
Left side gives us the function [tex]y=4x^2.[/tex] The graph of this function is shown with green curve in attached diagram.
Right side gives us the function [tex]y=x^2+7.[/tex] 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 [tex]4x^2 =x^2+7[/tex]
From the graph you can see that the solutions are
[tex]x_1\approx -1.528\\ \\x_2\approx 1.528[/tex]
