Find the quadratic polynomial, the sum of whose zeroes is 5/2 and their product is 1. Hence find the zeroes of the polynomial
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x^2+(5/2)x+1=0
Solution:
2*[x^2+5/2x+1]=0*2
2x^2+5x+2=0
2x^2+4x+1x+2=0
2x(x+2)+(x+2)=0
(x+2)+(2x+1)=0
x+2=0 2x+1=0
x=-2 x=-1/2
This equation has two solutions
x=-2 and x=-1/2
Solution:
2*[x^2+5/2x+1]=0*2
2x^2+5x+2=0
2x^2+4x+1x+2=0
2x(x+2)+(x+2)=0
(x+2)+(2x+1)=0
x+2=0 2x+1=0
x=-2 x=-1/2
This equation has two solutions
x=-2 and x=-1/2
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