What are the other words for solutions of a quadratic?
What is the inverse of a square function?
a. Roots.
a. Roots and x-intercepts.
Thank you Henry
You are welcome.
The other words for solutions of a quadratic equation are "roots" or "zeros." To find the solutions of a quadratic equation, you can use the quadratic formula or factor the equation if possible. The quadratic formula is:
x = (-b ± √(b^2 - 4ac))/(2a)
where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
To find the inverse of a square function, you can follow these steps:
1. Start with the function in the form f(x) = x^2.
2. Replace f(x) with y: y = x^2.
3. Swap x and y: x = y^2.
4. Solve the equation for y by taking the square root of both sides: y = ±√x.
5. Replace y with f^(-1)(x) to represent the inverse function.
6. The inverse function of f(x) = x^2 is f^(-1)(x) = ±√x.
Please note that the inverse of a square function is a multivalued function, meaning it has two branches because of the ± sign.