# How to determine a quadratic equation given the roots or given the sum and product of the roots

2
by muffy

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by muffy

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for example you are given 2 and 3 as the roots of your quadratic equation.

that means x=2 and x=3

transpose the constant to the other side

(x-2) and (x-3)

remember when you are transposing, you will change the sign to it's opposite.

after that, multiply (x-2)(x-3)

it will result to

if the given root is a fraction. cross multiply

x=

2x=1

(2x-1)

given sum (s) and product (p)

just use the equation below and substitute

example:

write a quadratic equation knowing the the sum of its roots is 8 and its product is 16.

then s=8 and p=16