What are the solutions to the equation 10k^2-49k=18 ?

The solutions to the equation 10k^2-49k=18 are k=(49+sqrt(3121))/(20),k=(49-sqrt(3121))/(20)

Find the zeros of 10k^2-49k=18

The zeros of 10k^2-49k=18 are k=(49+sqrt(3121))/(20),k=(49-sqrt(3121))/(20)

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10 k^{2} - 49 k = 18

k = \frac{49 + 3121}{20}, k = \frac{49 - 3121}{20}

Decimal Notation

k = 5.24329 \dots, k = - 0.34329 \dots

Solution steps

10 k^{2} - 49 k = 18

Move

18

to the left side

10 k^{2} - 49 k - 18 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 49 ) \pm ( - 49 ) ^{2} - 4 \cdot 10 ( - 18 )}{2 \cdot 10}

(- 49)^{2} - 4 \cdot 10 (- 18) = 3121

k_{1, 2} = \frac{- ( - 49 ) \pm 3121}{2 \cdot 10}

Separate the solutions

k_{1} = \frac{- ( - 49 ) + 3121}{2 \cdot 10}, k_{2} = \frac{- ( - 49 ) - 3121}{2 \cdot 10}

k = \frac{- ( - 49 ) + 3121}{2 \cdot 10} : \frac{49 + 3121}{20}

k = \frac{- ( - 49 ) - 3121}{2 \cdot 10} : \frac{49 - 3121}{20}

The solutions to the quadratic equation are:

k = \frac{49 + 3121}{20}, k = \frac{49 - 3121}{20}

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What are the solutions to the equation 10k^2-49k=18 ?
The solutions to the equation 10k^2-49k=18 are k=(49+sqrt(3121))/(20),k=(49-sqrt(3121))/(20)
Find the zeros of 10k^2-49k=18
The zeros of 10k^2-49k=18 are k=(49+sqrt(3121))/(20),k=(49-sqrt(3121))/(20)