Question

the quadratic equation x²+2x+5=0 then find alfa²+bita² is​

Answer 1

Answer:

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Step-by-step explanation:

now contain the above quadratic equation with ax square+bx+c=0

we get

a=1,b=2,c=5

so now we know that

alpha+beta=-b/a

=-2/1

=-2 (1)

also we know that

alpha×beta=c/a

=5/1

=5 (2)

now this applying

alpha square+beta square=

(alpha+beta)square+2alpha.beta

=(-2) square+(2×5)

=4+10

=14

thus value of alfa²+bita² is 14