What are the solutions to the equation 5x^2-8x-14=0 ?

The solutions to the equation 5x^2-8x-14=0 are x=(4+sqrt(86))/5 ,x=(4-sqrt(86))/5

Find the zeros of 5x^2-8x-14=0

The zeros of 5x^2-8x-14=0 are x=(4+sqrt(86))/5 ,x=(4-sqrt(86))/5

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5 x^{2} - 8 x - 14 = 0

x = \frac{4 + 86}{5}, x = \frac{4 - 86}{5}

Decimal Notation

x = 2.65472 \dots, x = - 1.05472 \dots

Solution steps

5 x^{2} - 8 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 ( - 14 )}{2 \cdot 5}

(- 8)^{2} - 4 \cdot 5 (- 14) = 286

x_{1, 2} = \frac{- ( - 8 ) \pm 2 86}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 86}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 2 86}{2 \cdot 5}

x = \frac{- ( - 8 ) + 2 86}{2 \cdot 5} : \frac{4 + 86}{5}

x = \frac{- ( - 8 ) - 2 86}{2 \cdot 5} : \frac{4 - 86}{5}

The solutions to the quadratic equation are:

x = \frac{4 + 86}{5}, x = \frac{4 - 86}{5}

12 - 6 y = 24

15 x + 6 = 10 x + 21

\frac{f}{5} = - 8

8112

3 x^{2} - 15 = 0

What are the solutions to the equation 5x^2-8x-14=0 ?
The solutions to the equation 5x^2-8x-14=0 are x=(4+sqrt(86))/5 ,x=(4-sqrt(86))/5
Find the zeros of 5x^2-8x-14=0
The zeros of 5x^2-8x-14=0 are x=(4+sqrt(86))/5 ,x=(4-sqrt(86))/5