Final answer:
To find the roots of the quadratic equation ax²+bx+c = 0, use the quadratic formula. In MATLAB, you can create a function Fun2 to evaluate the equation for a given x, returning zero when x is a root.
Step-by-step explanation:
To solve a quadratic equation of the form ax²+bx+c = 0, you can use the quadratic formula, which is x = (-b ± √(b²-4ac))/(2a). This formula provides the solutions or roots of the equation. When creating a MATLAB function to evaluate an equation for a given value of x, you can define a function called Fun2 as follows:
function y = Fun2(x)
y = x² + 0.00088*x - 0.000484; % Define the quadratic equation
end
This function takes a value of
x as input and returns the value of the quadratic equation, which will be zero when
x is at the root of the equation.Looking to understand the different forms of quadratic equations? Read below for an explanation of the three main forms of quadratics (standard form, factored form, and vertex form), examples of each form, as well as strategies for converting between the various quadratic forms.