Q. Find the real zeros of the quadratic function using any method you wish. What are the x-intercepts, if any, of the graph of the function?f(x)=x2−50
Set equation to zero: To find the real zeros of the quadratic function f(x)=x2−50, we need to set the function equal to zero and solve for x.0=x2−50
Solve for x: We can solve this equation by taking the square root of both sides. However, since we are taking the square root of a negative number, we will have two solutions, one positive and one negative.x2=50
Square root both sides: Taking the square root of both sides gives us:x=±50
Simplify square root: Simplifying the square root of 50, we get:x=±25×2x=±52
Identify real zeros: Therefore, the real zeros of the function are x=52 and x=−52. These zeros are also the x-intercepts of the graph of the function.
More problems from Find the roots of factored polynomials