What are the solutions to the equation x^2+9/2 x+7/2 =0 ?

The solutions to the equation x^2+9/2 x+7/2 =0 are x=-1,x=-7/2

Find the zeros of x^2+9/2 x+7/2 =0

The zeros of x^2+9/2 x+7/2 =0 are x=-1,x=-7/2

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x^{2} + \frac{9}{2} x + \frac{7}{2} = 0

x = - 1, x = - \frac{7}{2}

Decimal Notation

x = - 1, x = - 3.5

Solution steps

x^{2} + \frac{9}{2} x + \frac{7}{2} = 0

Multiply both sides by

2

2 x^{2} + 9 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 2 \cdot 7}{2 \cdot 2}

9^{2} - 4 \cdot 2 \cdot 7 = 5

x_{1, 2} = \frac{- 9 \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 9 + 5}{2 \cdot 2}, x_{2} = \frac{- 9 - 5}{2 \cdot 2}

x = \frac{- 9 + 5}{2 \cdot 2} : - 1

x = \frac{- 9 - 5}{2 \cdot 2} : - \frac{7}{2}

The solutions to the quadratic equation are:

x = - 1, x = - \frac{7}{2}

2 x^{2} + 15 x - 7 = 2 x

- 3 x^{2} + 11 = 95

x^{2} + 31 = - 12 x

2 x^{2} + 16 x + 26

x, 2 x^{2} - 7 x + 3 = 0

What are the solutions to the equation x^2+9/2 x+7/2 =0 ?
The solutions to the equation x^2+9/2 x+7/2 =0 are x=-1,x=-7/2
Find the zeros of x^2+9/2 x+7/2 =0
The zeros of x^2+9/2 x+7/2 =0 are x=-1,x=-7/2