You convert the equation to the form:
ax2 + bx + c = 0,
replace the numeric values (a, b, c) in the quadratic formula, and calculate.
By knowing how to use the quadratic equation formula.
All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.
The quadratic formula is x=-b±√b^2-4ac divided by 2a. You can only use this formula to solve the quadratic equation: ax^2+bx+c=0 If you were to punch the quadratic formula in the calculator, you would have to punch in the formula except replace the variables with the numbers from the equation. Ex. x^2+2x+1=0 a=1; b=2; c=1 In the calculator you would punch in x=-2±√2^2-4(1)(1) Or simply the equation without x=
Graph the equation then find the x intercepts.
There is a new method, called Diagonal Sum Method, that quickly and directly give the 2 roots without having to factor the equation. The innovative concept of this method is finding 2 fractions knowing their sum (-b/a) and their product (c/a). It is fast, convenient and is applicable to any quadratic equation in standard form ax^2 + bx + c = 0, whenever it can be factored. If it fails to find answer, then the equation is not factorable, and consequently, the quadratic formula must be used. So, I advise you to proceed solving any quadratic equation in 2 steps. First, find out if the equation can be factored? How?. Use this new method to solve it. It usually takes fewer than 3 trials. If its fails then use the quadratic formula to solve it in the second step. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
Quadratic equation formula
you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
Using the quadratic formula to solve any quadratic equation is the best way of getting around it because the quadratic formula is "the opposite of b plus or minus the square root of b squared minus 4ac all divided by 2a. This formula only works with trinomials and second degree equaitons. If the equation is a binomial, then put in a placeholer (0) and substitute them into the equation.
Simply learn and use the quadratic equation formula.
By using the quadratic equation formula or by completing the square
By knowing how to use the quadratic equation formula.
In problems of motion, especially involving constant acceleration, a quadratic equation will from the formulas of motion to solve for time, usually. This is just one example.
I suggest you use the quadratic formula. In this case, a = 1, b = 5, c = 3.
To find the roots (solutions) of a quadratic equation.
the formula you are going to use to answer the equation