What are the solutions to the equation 3k^2-10k-25=0 ?

The solutions to the equation 3k^2-10k-25=0 are k=5,k=-5/3

Find the zeros of 3k^2-10k-25=0

The zeros of 3k^2-10k-25=0 are k=5,k=-5/3

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3 k^{2} - 10 k - 25 = 0

k = 5, k = - \frac{5}{3}

Decimal Notation

k = 5, k = - 1.66666 \dots

Solution steps

3 k^{2} - 10 k - 25 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 25 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 25) = 20

k_{1, 2} = \frac{- ( - 10 ) \pm 20}{2 \cdot 3}

Separate the solutions

k_{1} = \frac{- ( - 10 ) + 20}{2 \cdot 3}, k_{2} = \frac{- ( - 10 ) - 20}{2 \cdot 3}

k = \frac{- ( - 10 ) + 20}{2 \cdot 3} : 5

k = \frac{- ( - 10 ) - 20}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

k = 5, k = - \frac{5}{3}

3 x^{2} - 5 x + 1 = 0

14 x^{2} - 18 x + 36 = 0

2 w^{2} + 3 = - 7 w

x, x^{2} + 6 x - 27 = 0

x, 2 x^{2} - 4 x + 3 = 0

What are the solutions to the equation 3k^2-10k-25=0 ?
The solutions to the equation 3k^2-10k-25=0 are k=5,k=-5/3
Find the zeros of 3k^2-10k-25=0
The zeros of 3k^2-10k-25=0 are k=5,k=-5/3