Solve the system of nonlinear equations: 4x - y = 4 x^2 - y = -1
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Answer:
Equation = (x - 6 )² + ( y + 3 )² = 9
Step-by-step explanation:
The circle passes through ( 6, 0) and ( 6 , -6)
They are the coordinates of the diameter.
Using this we can find the centre of the circle.
<u>Find the centre of the circle.</u>
Centre of the circle is the mid- point of (6, 0) and ( 6, -6)
<u>Find the radius of the circle.</u>
Diameter is the distance between the points (6 , 0) and ( 6, - 6)
Therefore,
<u>Standard equation of a circle:</u>
<u></u><u></u>
Therefore , equation of the circle ;