Subtract -6x^4-3x^2y^2+5y^4−6x
4
−3x
2
y
2
+5y
4
minus, 6, x, start superscript, 4, end superscript, minus, 3, x, squared, y, squared, plus, 5, y, start superscript, 4, end superscript from 2x^4-8x^2y^2-y^42x
4
−8x
2
y
2
−y
4

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step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system