What are the solutions to the equation 5x^2+8x-11=0 ?

The solutions to the equation 5x^2+8x-11=0 are x=(-4+sqrt(71))/5 ,x=-(4+sqrt(71))/5

Find the zeros of 5x^2+8x-11=0

The zeros of 5x^2+8x-11=0 are x=(-4+sqrt(71))/5 ,x=-(4+sqrt(71))/5

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5 x^{2} + 8 x - 11 = 0

x = \frac{- 4 + 71}{5}, x = - \frac{4 + 71}{5}

Decimal Notation

x = 0.88522 \dots, x = - 2.48522 \dots

Solution steps

5 x^{2} + 8 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 5 ( - 11 )}{2 \cdot 5}

8^{2} - 4 \cdot 5 (- 11) = 271

x_{1, 2} = \frac{- 8 \pm 2 71}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 8 + 2 71}{2 \cdot 5}, x_{2} = \frac{- 8 - 2 71}{2 \cdot 5}

x = \frac{- 8 + 2 71}{2 \cdot 5} : \frac{- 4 + 71}{5}

x = \frac{- 8 - 2 71}{2 \cdot 5} : - \frac{4 + 71}{5}

The solutions to the quadratic equation are:

x = \frac{- 4 + 71}{5}, x = - \frac{4 + 71}{5}

x^{2} = 6 x - 11

4 x^{2} + 24 x - 12 = 0

x, x^{2} + x y + y^{3} = 1

(x - 3)^{2} + 27 = 0

3 x^{2} - 42 x = - 87

What are the solutions to the equation 5x^2+8x-11=0 ?
The solutions to the equation 5x^2+8x-11=0 are x=(-4+sqrt(71))/5 ,x=-(4+sqrt(71))/5
Find the zeros of 5x^2+8x-11=0
The zeros of 5x^2+8x-11=0 are x=(-4+sqrt(71))/5 ,x=-(4+sqrt(71))/5