Relation between the roots of a quadratic equation


Ask a Question, Get an Answer!
Hundreds of tutors are online and ready to help you right now!

Let a and b be the roots of the equation (i),

Then x = a and x = b

Since a and b are the roots of the equations (i) and (ii), both the equations are identical.

Dividing equation (i) by 'a', we get

The equations (ii) and (iii) are identical.

Therefore their corresponding terms must be identical.

i.e., coefficient of x2 = 1

Examples:

Find the sum and product of the following quadratic equations without actually solving.

i)

Suggested answer:

Here a = 1, b = -8, c = 7

ii)

Suggested answer:

Here a = 3, b = -11, c =12

iii)

Suggested answer:

Here A = p, B = q, C = r

iv)

Suggested answer:

Here a = 5, b = -10, c =12



Ask a Question? Get an Answer!

connect to a tutor


Related Searches

relation of roots of coefficient of quadratic equation

;,  

solving quadratic formula roots

,  

quadratic equations find roots

,  

quadratic formula

,  

solving quadratic equation

,  

solving quadratic equations

,  

solving quadratic formula

,  

solving quadratic functions

,  

solving a quadratic equation

,  

formation of quadratic equation

,  

theory of quadratic equation

,  

quadratic

,  

quadratic equation

,  

quadratic equations introduction

,  

quadratic equations summary

,  

relation between

...more