Determine two integers whose sum is 6 and product is -6 ?
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Answers
Answered by
0
Let the integers be x
so now x + x = 6
x=6-x
x ( 6-x)= -6
6x-x2=-6
x2-6x-6=0
x2-x+6x-6=0
x(x-1)+6(x-1)=0
(x-1)(x+6)=0
x-1=0 and x+6=0
x=1 and x=-6
Answered by
1
let numbers be x and y
so, ATQ,
-y² + 6y + 6 = 0
Comparing with Ax² + Bx + C = 0 (Shridharacharya method)
A = -1 ; B = 6 ; C = 6
so 'y' is either -21.87 or -14.13
so x is either 27.87 or 20.13
Verification ----
x + y = 6
27.87 + (-21.87) = 27.87 -21.87 = 6 ; Hence Verified
Hope it helps
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