What are the solutions to the equation k^2-10k+15=0 ?

The solutions to the equation k^2-10k+15=0 are k=5+sqrt(10),k=5-sqrt(10)

Find the zeros of k^2-10k+15=0

The zeros of k^2-10k+15=0 are k=5+sqrt(10),k=5-sqrt(10)

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k^{2} - 10 k + 15 = 0

k = 5 + 10, k = 5 - 10

Decimal Notation

k = 8.16227 \dots, k = 1.83772 \dots

Solution steps

k^{2} - 10 k + 15 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 15 = 210

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

k = 5 + 10, k = 5 - 10

x^{2} - 300 x + 18900 = 0

x^{2} - 3 x - 5 = 0

1.5 = \frac{1}{2} \cdot 9.8 \cdot x^{2}

x^{2} + 1 + 1 = 0

4 x^{2} + 12 x + 37

What are the solutions to the equation k^2-10k+15=0 ?
The solutions to the equation k^2-10k+15=0 are k=5+sqrt(10),k=5-sqrt(10)
Find the zeros of k^2-10k+15=0
The zeros of k^2-10k+15=0 are k=5+sqrt(10),k=5-sqrt(10)