Solve x^2-(2m-1)*x m^2-6=0

Evaluate

x^{2} - (2 m - 1) x m^{2} - 6 = 0

Multiply the first two terms

x^{2} + x (- 2 m + 1) m^{2} - 6 = 0

Rewrite the expression

x^{2} + (- 2 m^{3} + m^{2}) x - 6 = 0

Substitute a= 1,b= - 2 m^{3} + m^{2} and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2 m ^{3} - m ^{2} \pm ( - 2 m ^{3} + m ^{2} ) ^{2} - 4 ( - 6 )}{2}

Simplify the expression

More Steps

x = \frac{2 m ^{3} - m ^{2} \pm 4 m ^{6} - 4 m ^{5} + m ^{4} + 24}{2}

Solution

x = \frac{2 m ^{3} - m ^{2} + 4 m ^{6} - 4 m ^{5} + m ^{4} + 24}{2} x = \frac{2 m ^{3} - m ^{2} - 4 m ^{6} - 4 m ^{5} + m ^{4} + 24}{2}

X^2 (2m 1)*x m^2 6=0