Plllzzz iii beeeg for what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?

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The Equation of a circle with a center(-3,-5) and a radius of 6 units is given by;

Further Explanation:Equation of circle An equation of a circle is calculated when the radius of a circle and the coordinates of its center are known or can be calculated.Equation of a circle can be written in two forms namely; the standard and the general form.Standard formStandard form of Equation of a circle is written as;

Where (a,b) is the center of the circle and r is the radius of the circle.When an equation is written in this form the center and the radius can easily be identified from the equation, with radius always being positive.General form The general form of an equation of a circle is given by;

; where d, e and f are constants.

When an equation is written in this form one has to use the completing square method to write it in standard form so as to identify the center and the radius.In this case;Center of the circle (a,b) is The radius of the circle, r is 6 units

Therefore;

Substituting the values in the general equation we get;

This gives us:

Hence; A circle with a radius of 6 units and a center of (-3,-5) will have an equation of:

Keywords: Circle, equation of the circle, center, radius

Learn more about:Equation of a circle; Standard form of equation of a General form of equation of a circle;

Level: High school

Subject: Mathematics

Topic: Equation of the circle