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Vikentia [17]
3 years ago
9

Product is 20 the sum is -12

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0
Let one number be x
Let another number be y
ATQ
x + y = -12 => y = -x -12 {mark as the first  equation}
xy = 20 { mark as the second equation} 

Substituting value of y in second equation
x( -x - 12) = 20
-x² - 12x = 20
-x² - 12x - 20 = 0 { middle  term splitting}
-x² -10x - 2x -20 = 0
-x( x + 10 ) -2 ( x +10 ) 
( -x - 2 ) ( x + 10 ) are the factors.
 -x -2 = 0                  x + 10 = 0 
-x = 2                        x = -10
x = -2    
so we get two values of x i.e. -2 and -10
 now substituting value of x in first equation ( x = -2 )
 y = -x - 12                    y = -x - 12
 y = - ( -2 ) - 12             y = -(-10) - 12
 y = 2 - 12                     y = 10 - 12
 y = -10                         y = -2

So we  get to know that if x = -2 then y = -10 And when x = -10 then y = -10.
Hope this help  :)
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<em>Comment on equation solving</em>

If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.

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