Final answer:
To find the zeros of a quadratic function, set the equation f(x) to zero and solve algebraically using the quadratic formula, which calculates the roots of the equation. Substitute the given coefficients into the formula to obtain the solutions.
Step-by-step explanation:
To find the zeros of a quadratic function f(x), you set the equation f(x) = 0 and then solve for x using algebra. A quadratic equation typically takes the form ax² + bx + c = 0. To solve such an equation, you can apply the quadratic formula:
x = (-b ± √(b²-4ac)) / (2a)
This formula is used to determine the roots or solutions of the quadratic equation, which are the values of x that make the equation equal to zero. It is important to carefully perform the algebraic steps and to check your solutions to see if they are reasonable.
Remember that the coefficients a, b, and c are taken from the equation standardized in the form of ax² + bx + c = 0. In the case of your equation x² + 1.2 x 10-2x - 6.0 × 10-3 = 0, you would identify the corresponding coefficients and substitute them into the quadratic formula to find the zeros of the function.