What are the solutions to the equation -x^2+3x+a=0 ?

The solutions to the equation -x^2+3x+a=0 are x=-(-3+sqrt(9+4a))/2 ,x=-(-3-sqrt(9+4a))/2

Find the zeros of -x^2+3x+a=0

The zeros of -x^2+3x+a=0 are x=-(-3+sqrt(9+4a))/2 ,x=-(-3-sqrt(9+4a))/2

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- x^{2} + 3 x + a = 0

x = - \frac{- 3 + 9 + 4 a}{2}, x = - \frac{- 3 - 9 + 4 a}{2}

Solution steps

- x^{2} + 3 x + a = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 1 ) a}{2 ( - 1 )}

Simplify

3^{2} - 4 (- 1) a : 9 + 4 a

x_{1, 2} = \frac{- 3 \pm 9 + 4 a}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 3 + 9 + 4 a}{2 ( - 1 )}, x_{2} = \frac{- 3 - 9 + 4 a}{2 ( - 1 )}

x = \frac{- 3 + 9 + 4 a}{2 ( - 1 )} : - \frac{- 3 + 9 + 4 a}{2}

x = \frac{- 3 - 9 + 4 a}{2 ( - 1 )} : - \frac{- 3 - 9 + 4 a}{2}

The solutions to the quadratic equation are:

x = - \frac{- 3 + 9 + 4 a}{2}, x = - \frac{- 3 - 9 + 4 a}{2}

0 = 12 x^{2} - 24 x - 40

- 6 x^{2} + 72 x - 192 = 0

2 x^{2} - 16 x + 31

x^{2} + 18 x + 17 = 0

- 0.3 x^{2} + 150 x + 70 = 0

What are the solutions to the equation -x^2+3x+a=0 ?
The solutions to the equation -x^2+3x+a=0 are x=-(-3+sqrt(9+4a))/2 ,x=-(-3-sqrt(9+4a))/2
Find the zeros of -x^2+3x+a=0
The zeros of -x^2+3x+a=0 are x=-(-3+sqrt(9+4a))/2 ,x=-(-3-sqrt(9+4a))/2