Solve r^2 r-8=0 - ScanMath

Evaluate

r^{2} \times r - 8 = 0

Evaluate

More Steps

r^{3} - 8 = 0

Rewrite the expression

r^{3} = 8

Evaluate

r^{2} \times r = 8

Evaluate

(x^{2} + y^{2}) r = 8

Square both sides of the equation

((x^{2} + y^{2}) r)^{2} = 8^{2}

Evaluate

(x^{2} + y^{2})^{2} r^{2} = 8^{2}

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

(x^{2} + y^{2})^{2} (x^{2} + y^{2}) = 8^{2}

Use substitution

(x^{2} + y^{2})^{3} = 8^{2}

Evaluate the power

(x^{2} + y^{2})^{3} = 64

Solution

x^{6} + 3 x^{4} y^{2} + 3 x^{2} y^{4} + y^{6} = 64

Solve the equation