Question 284186: Discuss two examples where you use a quadratic function and another where you use a radical equation. Answer by alex224(8) (Show Source):
You can put this solution on YOUR website! The standard form of a quadratic function is y = ax^2 + bx + c or f(x) = ax^2 + bx + c where x is the independent variable, y is the dependent variable, and a, b, and c are all constants.
An example of how to solve one of these problems is:
y=x^2-5x-14
1.)Set y equal to zero to find the x-intercepts
0=x^2-5x-14
2.)Next you need to factor
0=(x-7)(x+2)
3.)Then set each factor eqaul to zero
0=x-7 0=x+2
4.)Solve
x=7,-2
Sometimes the function is not factorable and in that case you need to use the quadratic formula:
Here is an example of a problem that needs to be solved by using the quadratic formula:
y=2x^2+4x-5
1.)First you need to set the function equal to zero:
0=2x^2+4x-5
2.)Then you need to determine the variables and plug them into the qudratic equation:
a=2
b=4
c=-5
4.) Simplify
5.)Final Answer
(,0),(,0)
A radical equation is an equation that involves at least one expression or variable under a radical.
To solve these types of equations you need to isolate the variable by doing the opposite operation.
Here is an example:
=4
In order to get the answer you need to do the opposite of taking the root which is squaring, so you need to sqaure both sides of the equation.
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