What are the solutions to the equation 5z^2-17z+10=0 ?

The solutions to the equation 5z^2-17z+10=0 are z=(17+sqrt(89))/(10),z=(17-sqrt(89))/(10)

Find the zeros of 5z^2-17z+10=0

The zeros of 5z^2-17z+10=0 are z=(17+sqrt(89))/(10),z=(17-sqrt(89))/(10)

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5 z^{2} - 17 z + 10 = 0

z = \frac{17 + 89}{10}, z = \frac{17 - 89}{10}

Solution steps

5 z^{2} - 17 z + 10 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 5 \cdot 10}{2 \cdot 5}

(- 17)^{2} - 4 \cdot 5 \cdot 10 = 89

z_{1, 2} = \frac{- ( - 17 ) \pm 89}{2 \cdot 5}

Separate the solutions

z_{1} = \frac{- ( - 17 ) + 89}{2 \cdot 5}, z_{2} = \frac{- ( - 17 ) - 89}{2 \cdot 5}

z = \frac{- ( - 17 ) + 89}{2 \cdot 5} : \frac{17 + 89}{10}

z = \frac{- ( - 17 ) - 89}{2 \cdot 5} : \frac{17 - 89}{10}

The solutions to the quadratic equation are:

z = \frac{17 + 89}{10}, z = \frac{17 - 89}{10}

5 x^{2} + 3 = 83

9 x^{2} + 1 = 6 x

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8 a^{2} - 4 = - 5

What are the solutions to the equation 5z^2-17z+10=0 ?
The solutions to the equation 5z^2-17z+10=0 are z=(17+sqrt(89))/(10),z=(17-sqrt(89))/(10)
Find the zeros of 5z^2-17z+10=0
The zeros of 5z^2-17z+10=0 are z=(17+sqrt(89))/(10),z=(17-sqrt(89))/(10)