What are the solutions to the equation x^2+3/2 x-1=0 ?

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

Find the zeros of x^2+3/2 x-1=0

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

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

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

Decimal Notation

x = 0.5, x = - 2

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- 3 \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 5}{2 \cdot 2}, x_{2} = \frac{- 3 - 5}{2 \cdot 2}

x = \frac{- 3 + 5}{2 \cdot 2} : \frac{1}{2}

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

The solutions to the quadratic equation are:

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

1 - x^{2} + 6 x - 9

x^{2} - 2 \leq 0

9 x^{2} = 4 x + 2

x - \frac{1}{2} \leq - \frac{5}{8}

\frac{1}{12} + \frac{7}{12}

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