What are the solutions to the equation x^2+13/2 x+15/2 =0 ?

The solutions to the equation x^2+13/2 x+15/2 =0 are x=-3/2 ,x=-5

Find the zeros of x^2+13/2 x+15/2 =0

The zeros of x^2+13/2 x+15/2 =0 are x=-3/2 ,x=-5

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x^{2} + \frac{13}{2} x + \frac{15}{2} = 0

x = - \frac{3}{2}, x = - 5

Solution steps

x^{2} + \frac{13}{2} x + \frac{15}{2} = 0

Multiply both sides by

2

2 x^{2} + 13 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 2 \cdot 15}{2 \cdot 2}

1 3^{2} - 4 \cdot 2 \cdot 15 = 7

x_{1, 2} = \frac{- 13 \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 13 + 7}{2 \cdot 2}, x_{2} = \frac{- 13 - 7}{2 \cdot 2}

x = \frac{- 13 + 7}{2 \cdot 2} : - \frac{3}{2}

x = \frac{- 13 - 7}{2 \cdot 2} : - 5

The solutions to the quadratic equation are:

x = - \frac{3}{2}, x = - 5

9 x^{2} + 9 = 7 x^{2} + 27

9 t^{2} = 36 t - 1

\frac{1}{4} x^{2} + \frac{2}{3} x = 0

2 x^{2} - 7 x - 10 = 0

3 x^{2} + 11 x + 7 = 0

What are the solutions to the equation x^2+13/2 x+15/2 =0 ?
The solutions to the equation x^2+13/2 x+15/2 =0 are x=-3/2 ,x=-5
Find the zeros of x^2+13/2 x+15/2 =0
The zeros of x^2+13/2 x+15/2 =0 are x=-3/2 ,x=-5