solve 4x^2=20
find the x-intercepts of f(x)=4x^2=20
What are the solutions and what are the x-intercepts
To solve the equation 4x^2=20, we need to isolate the variable x. The first step is to divide both sides of the equation by 4:
4x^2/4 = 20/4
Simplifying, we get:
x^2 = 5
To solve for x, we need to take the square root of both sides of the equation:
√(x^2) = √5
Simplifying further, we have two possible solutions:
x = √5 and x = -√5
To find the x-intercepts of the function f(x)=4x^2-20, we set f(x) equal to zero and solve for x. In other words, we find the values of x when the y-coordinate of the graph is zero.
So, for f(x) = 4x^2-20, we have:
4x^2-20 = 0
Adding 20 to both sides:
4x^2 = 20
Now, we can follow the same steps as mentioned earlier to solve for x. Dividing by 4 gives us:
x^2 = 5
Taking the square root of both sides, we get:
√(x^2) = √5
Simplifying further:
x = √5 and x = -√5
Therefore, the solutions to the equation 4x^2=20 and the x-intercepts of the function f(x)=4x^2-20 are x = √5 and x = -√5.