If the discriminant is greater than zero, this means that the quadratic equation has no real roots. Example. 3x2 + 2x + 1 = 0. a = 3, b = 2, c = 1. |
To work out the number of roots a qudratic ax2+bx+c=0 you need to compute the discriminant (b2-4ac). If the discrimant is less than 0, then the quadratic ... |
How to determine the number of unique real roots of a quadratic equation. Take any quadratic equation, eg/ 3x2+4x-2=5, and rearrange to equal 0, ie/ 3x2+4x ... |
Finding Roots of Quadratic EquationsWhat is a root to an equation?A root to an equation is a set of value(s) that satisfy the equation and when shown ... |
We can check the roots are corrects by replacing a and b with the x terms in the original equation and it should equal 0 for both a and b. We now have our roots ... |
We can use the formula method (for solving quadratic equations) to find 'roots' or values of x that satisfy or 'work out' for a given quadratic equation of an |
A quadratic equation has the form ax2 + bx + c Our goal is to find values of x such that ax2 + bx + c = 0These values of x are known as the "roots" o... |
There are three main ways to find the roots of a quadratic and they all have different benefits.Firstly, suppose your equation is in the form ax^2 + bx + c ... |
If it is positive, we will get 2 real roots. If it is zero, we get one root that is equal to -b/2a. If it is negative, we will get 2 complex roots. |
These methods will all work with any equation, but each one is more suited to specific sets of examples. Factorising method is based on the FACTOR THEOREM, ... |
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