What are the solutions to the equation 9x^2-60x+100=20 ?

The solutions to the equation 9x^2-60x+100=20 are x=(2(5+sqrt(5)))/3 ,x=(2(5-sqrt(5)))/3

Find the zeros of 9x^2-60x+100=20

The zeros of 9x^2-60x+100=20 are x=(2(5+sqrt(5)))/3 ,x=(2(5-sqrt(5)))/3

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9 x^{2} - 60 x + 100 = 20

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

Decimal Notation

x = 4.82404 \dots, x = 1.84262 \dots

Solution steps

9 x^{2} - 60 x + 100 = 20

Move

20

to the left side

9 x^{2} - 60 x + 80 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 9 \cdot 80}{2 \cdot 9}

(- 60)^{2} - 4 \cdot 9 \cdot 80 = 125

x_{1, 2} = \frac{- ( - 60 ) \pm 12 5}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 12 5}{2 \cdot 9}, x_{2} = \frac{- ( - 60 ) - 12 5}{2 \cdot 9}

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

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

The solutions to the quadratic equation are:

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

6 (x - 5)^{2} = 486

4 z^{2} - 15 z + 12 = 0

- v^{2} = - 13

2 n - 4 = n^{2} - 3 n - 14

n^{2} - 7 n + 10 = 0

What are the solutions to the equation 9x^2-60x+100=20 ?
The solutions to the equation 9x^2-60x+100=20 are x=(2(5+sqrt(5)))/3 ,x=(2(5-sqrt(5)))/3
Find the zeros of 9x^2-60x+100=20
The zeros of 9x^2-60x+100=20 are x=(2(5+sqrt(5)))/3 ,x=(2(5-sqrt(5)))/3