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Find the points of intersection of the circles x²+y²-15=0 and x²-4x+y²+2y-5=0. Check by graphing the equations.

User Apostolos
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4.2k points

1 Answer

3 votes

Answer:

The answer to your question is:

Explanation:

Solve by elimination

- x² - y² + 15 = 0

x² +y² - 4x + 2y - 5 = 0

0 0 - 4x + 2y + 10 = 0

Solve it for x -4x = -2y - 10 ; x = 1/2y + 5/2

Substitution

( 1/2y + 5/2)²+ y² - 15=0

(y² + 2y + 25)/4 + y² - 15 = 0

y² + 10y + 25 + 4y² - 60 = 0

5y² + 10y - 35 = 0

Solve the equation

y1 = -3.83 y2 = 1.83

x1 = (5 - 3.83) /2 x2 = (5 + 1.83) / 2

x1 = 0.59 x2 = 3.42

Point 1 = (0.59 , -3.83) Point 2 ( 3.42, 1.83)

Find the points of intersection of the circles x²+y²-15=0 and x²-4x+y²+2y-5=0. Check-example-1
User Frederick Nord
by
4.4k points