Solve each equation by graphing the related function. If the equation has no real-number solution, choose no solution.
one fourth x squared minus 4 equals 0
(1 point)
Responses
x equals positive or negative 3
Image with alt text: x equals positive or negative 3
x equals positive or negative 4
Image with alt text: x equals positive or negative 4
x equals positive or negative 2
Image with alt text: x equals positive or negative 2
no solution
To solve the equation by graphing the related function, we first rewrite the equation in the form of a function:
f(x) = 1/4x^2 - 4
Next, we graph the function f(x) = 1/4x^2 - 4 and find where it intersects the x-axis, which will give us the solutions to the equation.
The graph of the function has intercepts at x = 2 and x = -2. Therefore, the solutions to the equation are x = 2 and x = -2.
Therefore, x equals positive or negative 2.