What are the solutions to the equation 5x^2-30x+6=0 ?

The solutions to the equation 5x^2-30x+6=0 are x=(15+sqrt(195))/5 ,x=(15-sqrt(195))/5

Find the zeros of 5x^2-30x+6=0

The zeros of 5x^2-30x+6=0 are x=(15+sqrt(195))/5 ,x=(15-sqrt(195))/5

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5 x^{2} - 30 x + 6 = 0

x = \frac{15 + 195}{5}, x = \frac{15 - 195}{5}

Decimal Notation

x = 5.79284 \dots, x = 0.20715 \dots

Solution steps

5 x^{2} - 30 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 5 \cdot 6}{2 \cdot 5}

(- 30)^{2} - 4 \cdot 5 \cdot 6 = 2195

x_{1, 2} = \frac{- ( - 30 ) \pm 2 195}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 2 195}{2 \cdot 5}, x_{2} = \frac{- ( - 30 ) - 2 195}{2 \cdot 5}

x = \frac{- ( - 30 ) + 2 195}{2 \cdot 5} : \frac{15 + 195}{5}

x = \frac{- ( - 30 ) - 2 195}{2 \cdot 5} : \frac{15 - 195}{5}

The solutions to the quadratic equation are:

x = \frac{15 + 195}{5}, x = \frac{15 - 195}{5}

4 x - 8 x^{2} = 0

2 d^{2} + 9 d + 9

x^{2} = \frac{25}{81}

6 x^{2} + 30 x - 84

\frac{1 - a ^{2}}{4 a + 8 b} \times \frac{a ^{2} + 4 ab + 4 b ^{2}}{3 - 3 a}

What are the solutions to the equation 5x^2-30x+6=0 ?
The solutions to the equation 5x^2-30x+6=0 are x=(15+sqrt(195))/5 ,x=(15-sqrt(195))/5
Find the zeros of 5x^2-30x+6=0
The zeros of 5x^2-30x+6=0 are x=(15+sqrt(195))/5 ,x=(15-sqrt(195))/5