What are the solutions to the equation 4+7x-x^2=-x/2 ?

The solutions to the equation 4+7x-x^2=-x/2 are x=-1/2 ,x=8

Find the zeros of 4+7x-x^2=-x/2

The zeros of 4+7x-x^2=-x/2 are x=-1/2 ,x=8

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4 + 7 x - x^{2} = - \frac{x}{2}

x = - \frac{1}{2}, x = 8

Solution steps

4 + 7 x - x^{2} = - \frac{x}{2}

Multiply both sides by

2

8 + 14 x - 2 x^{2} = - x

Move

x

to the left side

- 2 x^{2} + 15 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 2 ) \cdot 8}{2 ( - 2 )}

1 5^{2} - 4 (- 2) \cdot 8 = 17

x_{1, 2} = \frac{- 15 \pm 17}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 15 + 17}{2 ( - 2 )}, x_{2} = \frac{- 15 - 17}{2 ( - 2 )}

x = \frac{- 15 + 17}{2 ( - 2 )} : - \frac{1}{2}

x = \frac{- 15 - 17}{2 ( - 2 )} : 8

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = 8

- 6.4 X^{2} + 128 X - 546.67 = 0

2 t^{2} - 7 t = 12

z^{2} - 2 z = 3

3 x^{2} - 6 x - 7 = x^{2} + 3 x - x (x + 1) + 3

x, 3 x^{2} - 3 y^{2} = 0

What are the solutions to the equation 4+7x-x^2=-x/2 ?
The solutions to the equation 4+7x-x^2=-x/2 are x=-1/2 ,x=8
Find the zeros of 4+7x-x^2=-x/2
The zeros of 4+7x-x^2=-x/2 are x=-1/2 ,x=8