Question

How to form quadratic equation if sum and product is given?

Answer 1

Hey

Here is your answer,

When sum and product of zeroes are given , just substitute the values in the following equation.

Quadratic polynomial = x^2 -(sum of zeroes )x + product of zeroes

Hope it helps you!

Answer 2

$Heya$‼

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$Quadratic\: Equation =$$ax^2+bx+c$


Let $alpha \ and \: beta$



As we know,

$alpha \ + beta \ = -b/a$

$alpha \ × beta \ = c/a$



So, let's take an example :-

Q. Find the quadratic polynomial whose zeroes are 2 and 3.


Solution :- $Sum\:of\:zeroes = -b/a$

$2 + 3 = -b/a$

$5 = -b/a$

AND

$Product\:of\:zeroes = c/a$

$2×3= c/a$

$6 = c/a$

Thus,$a=1,b=-5\:and\:c=6$.

Therefore, the quadratic polynomial is $x^2-5x^2+6$.


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$Hope\:you\:understand$‼