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Let r and s be the roots of y^2 - 19y + 7. Find (r-2)*(s-2).
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Steve
r-2 and s-2 are the roots of
(y+2)^2 - 19(y+2) + 7 = 0
y^2 - 15y - 27 = 0
The product of the roots of the shifted function is -27
(y+2)^2 - 19(y+2) + 7 = 0
y^2 - 15y - 27 = 0
The product of the roots of the shifted function is -27
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