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# Quadratic Equation Class 10 Notes | EduRev

## Class 10 : Quadratic Equation Class 10 Notes | EduRev

``` Page 1

•Intro:  We already know the standard
form of a quadratic equation is:
y = ax
2
+ bx + c
•The constants are:  a , b, c
•The variables are:  y, x
Page 2

•Intro:  We already know the standard
form of a quadratic equation is:
y = ax
2
+ bx + c
•The constants are:  a , b, c
•The variables are:  y, x
•The ROOTS (or
solutions) of a
polynomial are its
x-intercepts
•Recall:  The x-
intercepts occur
where y = 0.
Roots
Page 3

•Intro:  We already know the standard
form of a quadratic equation is:
y = ax
2
+ bx + c
•The constants are:  a , b, c
•The variables are:  y, x
•The ROOTS (or
solutions) of a
polynomial are its
x-intercepts
•Recall:  The x-
intercepts occur
where y = 0.
Roots
•Example:  Find the
roots: y = x
2
+ x - 6
•Solution:  Factoring:
y = (x + 3)(x - 2)
•0 = (x + 3)(x - 2)
•The roots are:
•x = -3; x = 2
Roots
Page 4

•Intro:  We already know the standard
form of a quadratic equation is:
y = ax
2
+ bx + c
•The constants are:  a , b, c
•The variables are:  y, x
•The ROOTS (or
solutions) of a
polynomial are its
x-intercepts
•Recall:  The x-
intercepts occur
where y = 0.
Roots
•Example:  Find the
roots: y = x
2
+ x - 6
•Solution:  Factoring:
y = (x + 3)(x - 2)
•0 = (x + 3)(x - 2)
•The roots are:
•x = -3; x = 2
Roots
NASTY trinomials
that don’t factor?
ibn Musa Al-Khwarizmi
Page 5

•Intro:  We already know the standard
form of a quadratic equation is:
y = ax
2
+ bx + c
•The constants are:  a , b, c
•The variables are:  y, x
•The ROOTS (or
solutions) of a
polynomial are its
x-intercepts
•Recall:  The x-
intercepts occur
where y = 0.
Roots
•Example:  Find the
roots: y = x
2
+ x - 6
•Solution:  Factoring:
y = (x + 3)(x - 2)
•0 = (x + 3)(x - 2)
•The roots are:
•x = -3; x = 2
Roots
NASTY trinomials
that don’t factor?
ibn Musa Al-Khwarizmi
•After centuries of
work,
mathematicians
realized that as long
as you know the
coefficients, you can
find the roots of the
doesn’t factor!
y ? ax
2
?bx ? c,  a ? 0
x ?
?b ? b
2
? 4ac
2a
```
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