Question

If alpha and beta are the zeroes of the quadratic polynomial 2x^2 - 5x + 3, then find the value of alpha^2 + beta^2

Answer 1

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Answer 2

Answer:

α^2+ß^2=25/4

Step-by-step explanation:

2x^2-5x+3=0

2x^2-2x-3x+3=0

2x(x-1)-3(x-1)=0

x-1=0,2x-3=0

x=1,x=3/2

α=1,ß=3/2

α^2+ß^2

=(α+ß)^2

=α^2+ß^2+2*α*ß

=1^2+(3/2)^2+2*1*3/2

=1+9/4+3

=4+9/4

=(16+9)/4

=25/4

α^2+ß^2=25/4

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