Answer:
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
................Equation ( 2 )
To Find:
x = ?
y = ?
Solution:
Substitute Equation ( 1 ) in Equation ( 2 ) we get
Now Substituting x = 2 in Equation ( 1 ) we get
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
<h3>What is a circle?</h3>It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle and a parabola:
As we know the standard form of a circle:
The standard form of the parabola:
If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)
The solution of the quartic equation will be 4.
Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
Learn more about circle here:
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