What are the solutions to the equation x^2+5/2 x-3/2 =0 ?

The solutions to the equation x^2+5/2 x-3/2 =0 are x= 1/2 ,x=-3

Find the zeros of x^2+5/2 x-3/2 =0

The zeros of x^2+5/2 x-3/2 =0 are x= 1/2 ,x=-3

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x^{2} + \frac{5}{2} x - \frac{3}{2} = 0

x = \frac{1}{2}, x = - 3

Solution steps

x^{2} + \frac{5}{2} x - \frac{3}{2} = 0

Multiply both sides by

2

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

5^{2} - 4 \cdot 2 (- 3) = 7

x_{1, 2} = \frac{- 5 \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 5 + 7}{2 \cdot 2}, x_{2} = \frac{- 5 - 7}{2 \cdot 2}

x = \frac{- 5 + 7}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 5 - 7}{2 \cdot 2} : - 3

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 3

12 x^{3} y + 144 x^{2} y^{2} + 60 x y^{3}

2 (- 4)^{2}

3^{2} + 3

x^{3} + 2 x^{2} + x + 2

\frac{1}{2} \cdot \frac{2}{3}

What are the solutions to the equation x^2+5/2 x-3/2 =0 ?
The solutions to the equation x^2+5/2 x-3/2 =0 are x= 1/2 ,x=-3
Find the zeros of x^2+5/2 x-3/2 =0
The zeros of x^2+5/2 x-3/2 =0 are x= 1/2 ,x=-3