What are the solutions to the equation 11x^2+30x-1=0 ?

The solutions to the equation 11x^2+30x-1=0 are x=(-15+2sqrt(59))/(11),x=-(15+2sqrt(59))/(11)

Find the zeros of 11x^2+30x-1=0

The zeros of 11x^2+30x-1=0 are x=(-15+2sqrt(59))/(11),x=-(15+2sqrt(59))/(11)

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11 x^{2} + 30 x - 1 = 0

x = \frac{- 15 + 2 59}{11}, x = - \frac{15 + 2 59}{11}

Decimal Notation

x = 0.03293 \dots, x = - 2.76020 \dots

Solution steps

11 x^{2} + 30 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 11 ( - 1 )}{2 \cdot 11}

3 0^{2} - 4 \cdot 11 (- 1) = 459

x_{1, 2} = \frac{- 30 \pm 4 59}{2 \cdot 11}

Separate the solutions

x_{1} = \frac{- 30 + 4 59}{2 \cdot 11}, x_{2} = \frac{- 30 - 4 59}{2 \cdot 11}

x = \frac{- 30 + 4 59}{2 \cdot 11} : \frac{- 15 + 2 59}{11}

x = \frac{- 30 - 4 59}{2 \cdot 11} : - \frac{15 + 2 59}{11}

The solutions to the quadratic equation are:

x = \frac{- 15 + 2 59}{11}, x = - \frac{15 + 2 59}{11}

6 x^{2} - 96 x + 438 = 0

(x - 3)^{2} = - 27

x, x^{2} = 8

0 = - 16 x^{2} + 16 x + 32

p^{2} - p - 56 = 0

What are the solutions to the equation 11x^2+30x-1=0 ?
The solutions to the equation 11x^2+30x-1=0 are x=(-15+2sqrt(59))/(11),x=-(15+2sqrt(59))/(11)
Find the zeros of 11x^2+30x-1=0
The zeros of 11x^2+30x-1=0 are x=(-15+2sqrt(59))/(11),x=-(15+2sqrt(59))/(11)