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

The solutions to the equation x^2+3/2 x-3=0 are x=(-3+sqrt(57))/4 ,x=(-3-sqrt(57))/4

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

The zeros of x^2+3/2 x-3=0 are x=(-3+sqrt(57))/4 ,x=(-3-sqrt(57))/4

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

x = \frac{- 3 + 57}{4}, x = \frac{- 3 - 57}{4}

Decimal Notation

x = 1.13745 \dots, x = - 2.63745 \dots

Solution steps

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

Multiply both sides by

2

2 x^{2} + 3 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 6 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 6) = 57

x_{1, 2} = \frac{- 3 \pm 57}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 57}{2 \cdot 2}, x_{2} = \frac{- 3 - 57}{2 \cdot 2}

x = \frac{- 3 + 57}{2 \cdot 2} : \frac{- 3 + 57}{4}

x = \frac{- 3 - 57}{2 \cdot 2} : \frac{- 3 - 57}{4}

The solutions to the quadratic equation are:

x = \frac{- 3 + 57}{4}, x = \frac{- 3 - 57}{4}

2 x^{2} - 9 x + 21 = 0

y, y^{2} - 3 x y + 5 x^{2} y = 13 + x y^{2}

x^{2} + 10 x + 21 = 0

4 z^{2} + 11 z + 3 = - 1

9 u^{2} + 25 = - 30 u

What are the solutions to the equation x^2+3/2 x-3=0 ?
The solutions to the equation x^2+3/2 x-3=0 are x=(-3+sqrt(57))/4 ,x=(-3-sqrt(57))/4
Find the zeros of x^2+3/2 x-3=0
The zeros of x^2+3/2 x-3=0 are x=(-3+sqrt(57))/4 ,x=(-3-sqrt(57))/4