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labwork [276]
2 years ago
10

Find the quadratic equation whose roots are -3 and 1​

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0

Answer:

x²+2x-3=0

According to Vieta's formula:

x²-(Sum of roots)x+(product of roots)=0

Sum of roots=-3+1=-2

Product of roots=-3×1=-3

The equation is x²-(-2)x+(-3)=0

x²+2x-3=0

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Since the intersection is - by definition - common to both sets, we can work out the number of people that use only the fitness suite or the swimming pool.

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