What are the solutions to the equation 4x^2+2x-11=0 ?

The solutions to the equation 4x^2+2x-11=0 are x=(-1+3sqrt(5))/4 ,x=-(1+3sqrt(5))/4

Find the zeros of 4x^2+2x-11=0

The zeros of 4x^2+2x-11=0 are x=(-1+3sqrt(5))/4 ,x=-(1+3sqrt(5))/4

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4 x^{2} + 2 x - 11 = 0

x = \frac{- 1 + 3 5}{4}, x = - \frac{1 + 3 5}{4}

Decimal Notation

x = 1.42705 \dots, x = - 1.92705 \dots

Solution steps

4 x^{2} + 2 x - 11 = 0

Solve with the quadratic formula

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

2^{2} - 4 \cdot 4 (- 11) = 65

x_{1, 2} = \frac{- 2 \pm 6 5}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 2 + 6 5}{2 \cdot 4}, x_{2} = \frac{- 2 - 6 5}{2 \cdot 4}

x = \frac{- 2 + 6 5}{2 \cdot 4} : \frac{- 1 + 3 5}{4}

x = \frac{- 2 - 6 5}{2 \cdot 4} : - \frac{1 + 3 5}{4}

The solutions to the quadratic equation are:

x = \frac{- 1 + 3 5}{4}, x = - \frac{1 + 3 5}{4}

x^{2} + 9 x + 14 = 0

∣ x + 3 ∣ > 14

lo g_{5} (100)

- (1 + 8 x) = - 31 - 2 x

- \frac{1}{5} (3 c - 4) = - 2 (- c - 2)

What are the solutions to the equation 4x^2+2x-11=0 ?
The solutions to the equation 4x^2+2x-11=0 are x=(-1+3sqrt(5))/4 ,x=-(1+3sqrt(5))/4
Find the zeros of 4x^2+2x-11=0
The zeros of 4x^2+2x-11=0 are x=(-1+3sqrt(5))/4 ,x=-(1+3sqrt(5))/4