Question

construct the quadratic equationwhose roots are 5and -4

Answer 1

As roots are given

x = 5
and x = -4

=> We have to find Sum of roots
that is,

*5 + -(4)
= 5 - 4
= 1

=> Now finding product of roots

* 5 × (-4)
= -20

=> Now two form quadratic equation we have formula as

${x}^{2} - (sum \: of \: roots \: )x + (product \: of \: roots)$
( swipe left )

Using this formula

we get,

x² - 1x + (-20)

So, the required equation is,

x²-x-20


@Altaf

Answer 2

α+β=1
αβ=-20
p(x)=k[x^2-(α+β)+αβ]
=k[x^2-1x-20]
where k is constant
hope its help u
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