thedaisylopez4859 thedaisylopez4859
  • 21-10-2019
  • Mathematics
contestada

What are the solutions to the system of circle and line when the circle is given by x²+y²=9, and the line is given by y=4?

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jufsanabriasa
jufsanabriasa jufsanabriasa
  • 23-10-2019

Answer:

√7i = x

Step-by-step explanation:

x²+y²=9;

y² = 9-x²

y = √(9-x²)

As line is given by y= 4, the solution of the system is:

4 = √(9-x²)

16 = 9-x²

7 = -x²

-7 = x²

√-7 = x

As √-7 doen't exist, you should use i = √-1;

Thus,

√7i = x

I hope it helps!

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