What are the solutions to the equation solvefor x,x^2-5kx-50k^2=0 ?

The solutions to the equation solvefor x,x^2-5kx-50k^2=0 are x=10k,x=-5k

Find the zeros of solvefor x,x^2-5kx-50k^2=0

The zeros of solvefor x,x^2-5kx-50k^2=0 are x=10k,x=-5k

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x, x^{2} - 5 k x - 50 k^{2} = 0

x = 10 k, x = - 5 k

Solution steps

x^{2} - 5 k x - 50 k^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 k ) \pm ( - 5 k ) ^{2} - 4 \cdot 1 \cdot ( - 50 k ^{2} )}{2 \cdot 1}

Simplify

(- 5 k)^{2} - 4 \cdot 1 \cdot (- 50 k^{2}) : 15 k

x_{1, 2} = \frac{- ( - 5 k ) \pm 15 k}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 k ) + 15 k}{2 \cdot 1}, x_{2} = \frac{- ( - 5 k ) - 15 k}{2 \cdot 1}

x = \frac{- ( - 5 k ) + 15 k}{2 \cdot 1} : 10 k

x = \frac{- ( - 5 k ) - 15 k}{2 \cdot 1} : - 5 k

The solutions to the quadratic equation are:

x = 10 k, x = - 5 k

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

x = - 6 x^{2} + 8 x + 4

x^{2} - 3 x + \frac{1}{4} = 0

y, 2 x + 2 x y = 2 y + x^{2}

x, x^{2} y + 3 x y^{3} - x = 3

What are the solutions to the equation solvefor x,x^2-5kx-50k^2=0 ?
The solutions to the equation solvefor x,x^2-5kx-50k^2=0 are x=10k,x=-5k
Find the zeros of solvefor x,x^2-5kx-50k^2=0
The zeros of solvefor x,x^2-5kx-50k^2=0 are x=10k,x=-5k