how to form QUADRATIC EQUATION from roots.

JJ ONLINE MATHS CLASS
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4 Video Views·Aug 27, 2026
the easiest way to form a quadratic equation from it's roots in mathematics.
AI Generated·May contain errors
Video Summary
AI GeneratedThis video provides a step-by-step tutorial on how to formulate a quadratic equation when the roots are already known, specifically using the roots -10 and 2.
Hello everyone, greetings of the season. As we are asked to do or to formulate a quadratic
A quadratic equation whose roots are -10 and 2 means that the equation can be written as (x + 10)(x - 2) = 0. Expanding this, we get x² + 8x - 20 = 0. This is the quadratic equation with roots -10 and 2.
That's the solution or the answer to the roots; I was minus 10 and 2, so we are asked to form the
quadratic equation now then this is a very simple question because you are just going to apply a
The method I'm about to give you is going to be the simplest method you'll ever use.
To solve something like this, now let's get to it. We're given something like this—all you need to
do is to subtract each root from x, subtract each root from x, multiply whatever you got
Simplify: see me do it now. So we are going to subtract each root from x, so we already have x.
so minus minus 10 because we have minus 10 here, okay, bracket closes, we open another bracket
and we are subtracting the root, which is 2, from x, that is x minus 2, and we are equating everything
to be equal to zero, you see what I told you is a very easy thing. Now, what do we do? We are
Not working on this, okay. Now how do we go about that? We have that x minus minus 10 is going to
give us what x plus 10 why because minus times minus is equal to us plus so x minus minus 10
will give us x plus 10, okay? Into what x minus 2 is equal to zero, okay? Let us continue; we are not
We're going to open these brackets; well, we're going to open these brackets.
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a video now let us go ahead and expand this and get the solution we are going to have x times x
see how we are going to expand it: this x, we multiply this one, this x again, is going to
Multiply by minus two, then we are done with x; that means this x will go into the two of them.
We are through with it. We also go in with 10 to the two of them, that is 10. We multiply x.
then we also multiply what minus 2 times x, I'll do it: x times x is going to give you what, x squared
x times minus 2, okay, we give you minus 2x; we are through with x, we are going in with plus 10.
plus 10 times x gives you plus 10x, okay; plus 10 times minus 2 gives you minus 20
remember that plus times minus gives you minus, okay? So plus 10 times minus 2, whenever I
See it this way: whenever someone who is good always associates with someone who is not good, okay.
They say that's a bad character's voice, good morale, something along those lines, so when plus goes to negative
Now this is equal to zero, so we have x squared minus 2x plus 10x, which is going to give
Tell me what c minus 2 plus 10 is—it's certain as if I should write plus 10 first, plus 10, and I write
minus 2, so it's something as 10 minus 2 is going to give us what, 8, so it's going to give us plus
8x plus 8x minus 20 equals zero, so this is your final answer. This is the
quadratic equation, you are looking for; have a lovely day and bye
