What are the solutions to the equation x^2+3/2 x-7=0 ?

The solutions to the equation x^2+3/2 x-7=0 are x=2,x=-7/2

Find the zeros of x^2+3/2 x-7=0

The zeros of x^2+3/2 x-7=0 are x=2,x=-7/2

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x^{2} + \frac{3}{2} x - 7 = 0

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

Decimal Notation

x = 2, x = - 3.5

Solution steps

x^{2} + \frac{3}{2} x - 7 = 0

Multiply both sides by

2

2 x^{2} + 3 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 14 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 14) = 11

x_{1, 2} = \frac{- 3 \pm 11}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 11}{2 \cdot 2}, x_{2} = \frac{- 3 - 11}{2 \cdot 2}

x = \frac{- 3 + 11}{2 \cdot 2} : 2

x = \frac{- 3 - 11}{2 \cdot 2} : - \frac{7}{2}

The solutions to the quadratic equation are:

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

2 x (x + 2) + x + 2 = 5

9 x^{2} - 53 x + 49 = 0

4 b^{2} + 16 b - 19 = - 10

(x - 2) \cdot (x - 1) = 0

\frac{1}{2} x^{2} + 5 x - 12 = 0

What are the solutions to the equation x^2+3/2 x-7=0 ?
The solutions to the equation x^2+3/2 x-7=0 are x=2,x=-7/2
Find the zeros of x^2+3/2 x-7=0
The zeros of x^2+3/2 x-7=0 are x=2,x=-7/2