What are the solutions to the equation 9x^2-60x+60=0 ?

The solutions to the equation 9x^2-60x+60=0 are x=(2(5+sqrt(10)))/3 ,x=(2(5-sqrt(10)))/3

Find the zeros of 9x^2-60x+60=0

The zeros of 9x^2-60x+60=0 are x=(2(5+sqrt(10)))/3 ,x=(2(5-sqrt(10)))/3

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9 x^{2} - 60 x + 60 = 0

x = \frac{2 ( 5 + 10 )}{3}, x = \frac{2 ( 5 - 10 )}{3}

Decimal Notation

x = 5.44151 \dots, x = 1.22514 \dots

Solution steps

9 x^{2} - 60 x + 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 9 \cdot 60}{2 \cdot 9}

(- 60)^{2} - 4 \cdot 9 \cdot 60 = 1210

x_{1, 2} = \frac{- ( - 60 ) \pm 12 10}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 12 10}{2 \cdot 9}, x_{2} = \frac{- ( - 60 ) - 12 10}{2 \cdot 9}

x = \frac{- ( - 60 ) + 12 10}{2 \cdot 9} : \frac{2 ( 5 + 10 )}{3}

x = \frac{- ( - 60 ) - 12 10}{2 \cdot 9} : \frac{2 ( 5 - 10 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 5 + 10 )}{3}, x = \frac{2 ( 5 - 10 )}{3}

2 x^{2} - \frac{1}{2} x + 5 = 0

x^{2} + 25 = 169

3 x^{2} - 2 = 0

- 7 x^{2} - x + 8 = 0

2 z^{2} - 16 z - 1768 = 0

What are the solutions to the equation 9x^2-60x+60=0 ?
The solutions to the equation 9x^2-60x+60=0 are x=(2(5+sqrt(10)))/3 ,x=(2(5-sqrt(10)))/3
Find the zeros of 9x^2-60x+60=0
The zeros of 9x^2-60x+60=0 are x=(2(5+sqrt(10)))/3 ,x=(2(5-sqrt(10)))/3