What are the solutions to the equation x^2+7/2 x-7=0 ?

The solutions to the equation x^2+7/2 x-7=0 are x=(-7+sqrt(161))/4 ,x=(-7-sqrt(161))/4

Find the zeros of x^2+7/2 x-7=0

The zeros of x^2+7/2 x-7=0 are x=(-7+sqrt(161))/4 ,x=(-7-sqrt(161))/4

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x^{2} + \frac{7}{2} x - 7 = 0

x = \frac{- 7 + 161}{4}, x = \frac{- 7 - 161}{4}

Decimal

x = 1.42214 \dots, x = - 4.92214 \dots

Solution steps

x^{2} + \frac{7}{2} x - 7 = 0

Multiply both sides by

2

2 x^{2} + 7 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 ( - 14 )}{2 \cdot 2}

7^{2} - 4 \cdot 2 (- 14) = 161

x_{1, 2} = \frac{- 7 \pm 161}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 7 + 161}{2 \cdot 2}, x_{2} = \frac{- 7 - 161}{2 \cdot 2}

x = \frac{- 7 + 161}{2 \cdot 2} : \frac{- 7 + 161}{4}

x = \frac{- 7 - 161}{2 \cdot 2} : \frac{- 7 - 161}{4}

The solutions to the quadratic equation are:

x = \frac{- 7 + 161}{4}, x = \frac{- 7 - 161}{4}

19 v^{2} - v - 2 = 4 v^{2}

- 3 x^{2} - 4 x - 5 = 0

0 = 0.5 F (1 - \frac{F}{3000}) - 10

11 x^{2} - 12 x + 2 = 0

x, w = - 3 x^{2} + 5

What are the solutions to the equation x^2+7/2 x-7=0 ?
The solutions to the equation x^2+7/2 x-7=0 are x=(-7+sqrt(161))/4 ,x=(-7-sqrt(161))/4
Find the zeros of x^2+7/2 x-7=0
The zeros of x^2+7/2 x-7=0 are x=(-7+sqrt(161))/4 ,x=(-7-sqrt(161))/4