Adding and subtracting radical expressions works just like combining like terms with variables — you can only combine radicals that have the same index and the same radicand. Mastering this skill requires simplifying each radical first, then grouping and combining the ones that match. This guide shows you the complete process with worked examples, two […]
Exercises for the Equation of a Circle Write the standard form equation of each circle. \(\color{blue}{x^2+y^2-2x+2y=7}\) \(\color{blue}{x^2+y^2+12x+8y=-3}\) \(\color{blue}{x^2+y^2+8x-2y=8}\) \(\color{blue}{x^2+y^2-4x-8y-4=0}\) \(\color{blue}{Center: (2,-4), Radius: 5}\) \(\color{blue}{Center: (-1,-5), Area: 16π}\) \(\color{blue}{(x-1)^2+(y-(-1))^2=3^2}\) \(\color{blue}{(x-(-6))^2+(y-(-4))^2=7^2}\) \(\color{blue}{(x-(-4))^2+(y-1)^2=5^2}\) \(\color{blue}{(x-2)^2+(y-4)^2=(2\sqrt{6})^2}\) \(\color{blue}{(x-2)^2+(y-(-4))^2=5^2}\) \(\color{blue}{(x-(-1))^2+(y-(-5))^2=4^2}\)
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