What are the solutions to the equation solvefor x,x^2-8kx-9=0 ?

The solutions to the equation solvefor x,x^2-8kx-9=0 are x=4k+sqrt(16k^2+9),x=4k-sqrt(16k^2+9)

Find the zeros of solvefor x,x^2-8kx-9=0

The zeros of solvefor x,x^2-8kx-9=0 are x=4k+sqrt(16k^2+9),x=4k-sqrt(16k^2+9)

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x, x^{2} - 8 k x - 9 = 0

x = 4 k + 16 k^{2} + 9, x = 4 k - 16 k^{2} + 9

Solution steps

x^{2} - 8 k x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 k ) \pm ( - 8 k ) ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

Simplify

(- 8 k)^{2} - 4 \cdot 1 \cdot (- 9) : 2 16 k^{2} + 9

x_{1, 2} = \frac{- ( - 8 k ) \pm 2 16 k ^{2} + 9}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 k ) + 2 16 k ^{2} + 9}{2 \cdot 1}, x_{2} = \frac{- ( - 8 k ) - 2 16 k ^{2} + 9}{2 \cdot 1}

x = \frac{- ( - 8 k ) + 2 16 k ^{2} + 9}{2 \cdot 1} : 4 k + 16 k^{2} + 9

x = \frac{- ( - 8 k ) - 2 16 k ^{2} + 9}{2 \cdot 1} : 4 k - 16 k^{2} + 9

The solutions to the quadratic equation are:

x = 4 k + 16 k^{2} + 9, x = 4 k - 16 k^{2} + 9

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What are the solutions to the equation solvefor x,x^2-8kx-9=0 ?
The solutions to the equation solvefor x,x^2-8kx-9=0 are x=4k+sqrt(16k^2+9),x=4k-sqrt(16k^2+9)
Find the zeros of solvefor x,x^2-8kx-9=0
The zeros of solvefor x,x^2-8kx-9=0 are x=4k+sqrt(16k^2+9),x=4k-sqrt(16k^2+9)