There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
you cant. the quadratic function must be expressed as a number. Radicals and numbers dont mix
Quadratic equation
If you mean: 4x^2 +8x -24 then it is a quadratic expression that can be simplified to x^2 +2x -6
54
108x2-102x+24 Simplified by dividing all terms by 6: 18x2-17x+4 When factorised: (9x-4)(2x-1) With a question like this using the quadratic equation formula will help.
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
Plug 'a', 'b', and 'c' from the equation into the formula. When you do that, the formula becomes a pair of numbers ... one number when you pick the 'plus' sign, and another number when you pick the 'minus' sign. Those two numbers are the 'solutions' to the quadratic equation you started with.
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
discriminant
The discriminant
It is the equation inside the square root of the Quadratic FormulaIf > 0 there is a solutionIf < 0 there is no solutionBecause you can not calculate the Square Root of a Negative Number