Solve 100(1 r) 100=100(1 r)^2

Evaluate

100 (1 \times r) \times 100 = 100 (1 \times r)^{2}

Evaluate

More Steps

10000 r = 100 (1 \times r)^{2}

Any expression multiplied by 1 remains the same

10000 r = 100 r^{2}

Rewrite the expression

10000 r - 100 r^{2} = 0

Use substitution

More Steps

10000 r - 100 x^{2} - 100 y^{2} = 0

Simplify the expression

10000 r = 100 x^{2} + 100 y^{2}

Square both sides of the equation

(10000 r)^{2} = (100 x^{2} + 100 y^{2})^{2}

Evaluate

1000 0^{2} r^{2} = (100 x^{2} + 100 y^{2})^{2}

To covert the equation to rectangular coordinates using conversion formulas,substitute x^{2} + y^{2} for r^{2}

1000 0^{2} (x^{2} + y^{2}) = (100 x^{2} + 100 y^{2})^{2}

Divide both sides of the equation by 10000

10000 (x^{2} + y^{2}) = (x^{2} + y^{2})^{2}

Solution

10000 x^{2} + 10000 y^{2} = x^{4} + 2 x^{2} y^{2} + y^{4}

Solve the quadratic equation