The sum of the x-coordinates of the intersection of x 2 + y 2 = 36 and x 2 - y 2 = 6 is
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Equation given,
x² + y² = 36........(1)
x² - y² = 6 ..........(2)
Add both equations(1),(2):
⇒2x² = 42
⇒x² = 21
⇒x = √21
Thus sum of x-coordinates = (√21) + (-√21) = 0
x² + y² = 36........(1)
x² - y² = 6 ..........(2)
Add both equations(1),(2):
⇒2x² = 42
⇒x² = 21
⇒x = √21
Thus sum of x-coordinates = (√21) + (-√21) = 0
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