What are the solutions to the equation -3x^2+x+5=0 ?

The solutions to the equation -3x^2+x+5=0 are x=-(-1+sqrt(61))/6 ,x=(1+sqrt(61))/6

Find the zeros of -3x^2+x+5=0

The zeros of -3x^2+x+5=0 are x=-(-1+sqrt(61))/6 ,x=(1+sqrt(61))/6

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

x = - \frac{- 1 + 61}{6}, x = \frac{1 + 61}{6}

Decimal Notation

x = - 1.13504 \dots, x = 1.46837 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 3 ) \cdot 5}{2 ( - 3 )}

1^{2} - 4 (- 3) \cdot 5 = 61

x_{1, 2} = \frac{- 1 \pm 61}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 1 + 61}{2 ( - 3 )}, x_{2} = \frac{- 1 - 61}{2 ( - 3 )}

x = \frac{- 1 + 61}{2 ( - 3 )} : - \frac{- 1 + 61}{6}

x = \frac{- 1 - 61}{2 ( - 3 )} : \frac{1 + 61}{6}

The solutions to the quadratic equation are:

x = - \frac{- 1 + 61}{6}, x = \frac{1 + 61}{6}

a - 7 = a^{2} - 9

y^{2} + 3 y = 28

2 k (k + 3) = - 9

2 x^{2} + 8 x - 1 = 0

2 x^{2} - 2 x - 10 = 0

What are the solutions to the equation -3x^2+x+5=0 ?
The solutions to the equation -3x^2+x+5=0 are x=-(-1+sqrt(61))/6 ,x=(1+sqrt(61))/6
Find the zeros of -3x^2+x+5=0
The zeros of -3x^2+x+5=0 are x=-(-1+sqrt(61))/6 ,x=(1+sqrt(61))/6