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My name is Ann [436]
3 years ago
10

X2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0.  This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

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Lupe sold 40 tickets for a play. She sold some tickets at $3 each and other tickets at $5 each. She collected $136. How many $3
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Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
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Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40   (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
-----------------------------------------
5x + 5y = 200
3x + 5y = 136
------------------ -
 2x        = 64
   x        = 64/2
   x        = 32
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