What are the solutions to the equation solvefor x,(x^2-2mx+5m^2)*2=0 ?

The solutions to the equation solvefor x,(x^2-2mx+5m^2)*2=0 are x=m+2im,x=m-2im

Find the zeros of solvefor x,(x^2-2mx+5m^2)*2=0

The zeros of solvefor x,(x^2-2mx+5m^2)*2=0 are x=m+2im,x=m-2im

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x, (x^{2} - 2 m x + 5 m^{2}) \cdot 2 = 0

x = m + 2 im, x = m - 2 im

Solution steps

(x^{2} - 2 m x + 5 m^{2}) \cdot 2 = 0

Expand

(x^{2} - 2 m x + 5 m^{2}) \cdot 2 : 2 x^{2} - 4 m x + 10 m^{2}

2 x^{2} - 4 m x + 10 m^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 m ) \pm ( - 4 m ) ^{2} - 4 \cdot 2 \cdot 10 m ^{2}}{2 \cdot 2}

Simplify

(- 4 m)^{2} - 4 \cdot 2 \cdot 10 m^{2} : 8 im

x_{1, 2} = \frac{- ( - 4 m ) \pm 8 im}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 4 m ) + 8 im}{2 \cdot 2}, x_{2} = \frac{- ( - 4 m ) - 8 im}{2 \cdot 2}

x = \frac{- ( - 4 m ) + 8 im}{2 \cdot 2} : m + 2 im

x = \frac{- ( - 4 m ) - 8 im}{2 \cdot 2} : m - 2 im

The solutions to the quadratic equation are:

x = m + 2 im, x = m - 2 im

2 x^{2} + 7 x + 16 = 0

36 x^{2} - 40 = 9

7 b^{2} = 343

x^{2} + 8 x + 9 = 0

b^{2} + 110 b - 19.7 \cdot 1 0^{4} = 0

What are the solutions to the equation solvefor x,(x^2-2mx+5m^2)*2=0 ?
The solutions to the equation solvefor x,(x^2-2mx+5m^2)*2=0 are x=m+2im,x=m-2im
Find the zeros of solvefor x,(x^2-2mx+5m^2)*2=0
The zeros of solvefor x,(x^2-2mx+5m^2)*2=0 are x=m+2im,x=m-2im