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

The solutions to the equation x^2+7/2 x-2=0 are x= 1/2 ,x=-4

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

The zeros of x^2+7/2 x-2=0 are x= 1/2 ,x=-4

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

x = \frac{1}{2}, x = - 4

Decimal Notation

x = 0.5, x = - 4

Solution steps

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

Multiply both sides by

2

2 x^{2} + 7 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 ( - 4 )}{2 \cdot 2}

7^{2} - 4 \cdot 2 (- 4) = 9

x_{1, 2} = \frac{- 7 \pm 9}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 7 + 9}{2 \cdot 2}, x_{2} = \frac{- 7 - 9}{2 \cdot 2}

x = \frac{- 7 + 9}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 7 - 9}{2 \cdot 2} : - 4

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 4

(2 x + 3) \cdot (2 x - 3) = 135

0 = 1 - 3 x^{2}

x^{2} - 37 = 188

2 k^{2} + 5 k + 3 = 0

\frac{5 - x}{6000} = \frac{1}{2} \cdot 0.001 \cdot (x - 1)^{2}

What are the solutions to the equation x^2+7/2 x-2=0 ?
The solutions to the equation x^2+7/2 x-2=0 are x= 1/2 ,x=-4
Find the zeros of x^2+7/2 x-2=0
The zeros of x^2+7/2 x-2=0 are x= 1/2 ,x=-4