How is the equation of this circle written in standard form?

x2 + y2 - 6x + 14y = 142

The equation of circle becomes

Step-by-step explanation:

Given equation of circle

We have to write the equation of this circle written in standard form.

The standard equation of a circle with (h,k) as center and radius r, is given by

For the given equation of circle

making perfect squares ,

Rearranging terms, we have,

as

Applying

We have  

To make   a perfect square add and subtract 3²= 9 , we get,

Similarly, To make   a perfect square add and subtract 7²= 49 we get,

Simplify, we get,

Simplify , we have,

Thus, the equation of circle becomes

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this

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step-by-step explanation: