if alpha and beta are the zeros of 2 x squared minus 5 x + 3 then find the value of Alpha square plus beta square
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2x²-5x+3=0
2x²-2x-3x+3=0
2x(x-1)-3(x-1)=0
(x-1)(2x-3)=0
x-1 = 0 ; x=1
2x-3=0 ; x=3/2
Let alpha =1 and beta (ß) =3/2
alpha²+ß² = (1)²+(3/2)²
=1+9/4
=1×4/4 + 9/4
=4/4+9/4
=(4+9)/4
=13/4
Hope it helps
2x²-2x-3x+3=0
2x(x-1)-3(x-1)=0
(x-1)(2x-3)=0
x-1 = 0 ; x=1
2x-3=0 ; x=3/2
Let alpha =1 and beta (ß) =3/2
alpha²+ß² = (1)²+(3/2)²
=1+9/4
=1×4/4 + 9/4
=4/4+9/4
=(4+9)/4
=13/4
Hope it helps
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