Find the 20

Find the product and the sum of the roots of x2 + 3x - 9 = 0

Correct result:

p =  -9
s =  -3

Solution:

x2+3x−9=0 a=1 b=3 c=−9  p=c/a=(−9)/1=−9
s=−b/a=−3/1=−3   Verifying Solution:  x2+3x−9=0  x2+3x−9=0  a=1;b=3;c=−9 D=b2−4ac=32−4⋅1⋅(−9)=45 D>0  x1,2=−b±D2a=−3±452=−3±352 x1,2=−1.5±3.35410196625 x1=1.85410196625 x2=−4.85410196625   Factored form of the equation:  (x−1.85410196625)(x+4.85410196625)=0  p1=x1⋅ x2=1.8541⋅ (−4.8541)=−9 s1=x1+x2=1.8541+(−4.8541)=−3

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