What are the solutions to the equation 4/8 x^2+3/2 x-0.5=0 ?

The solutions to the equation 4/8 x^2+3/2 x-0.5=0 are x=(-3+sqrt(13))/2 ,x=-(3+sqrt(13))/2

Find the zeros of 4/8 x^2+3/2 x-0.5=0

The zeros of 4/8 x^2+3/2 x-0.5=0 are x=(-3+sqrt(13))/2 ,x=-(3+sqrt(13))/2

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\frac{4}{8} x^{2} + \frac{3}{2} x - 0.5 = 0

x = \frac{- 3 + 13}{2}, x = - \frac{3 + 13}{2}

Decimal Notation

x = 0.30277 \dots, x = - 3.30277 \dots

Solution steps

\frac{4}{8} x^{2} + \frac{3}{2} x - 0.5 = 0

Multiply both sides by

10

5 x^{2} + 15 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 5 ( - 5 )}{2 \cdot 5}

1 5^{2} - 4 \cdot 5 (- 5) = 513

x_{1, 2} = \frac{- 15 \pm 5 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 15 + 5 13}{2 \cdot 5}, x_{2} = \frac{- 15 - 5 13}{2 \cdot 5}

x = \frac{- 15 + 5 13}{2 \cdot 5} : \frac{- 3 + 13}{2}

x = \frac{- 15 - 5 13}{2 \cdot 5} : - \frac{3 + 13}{2}

The solutions to the quadratic equation are:

x = \frac{- 3 + 13}{2}, x = - \frac{3 + 13}{2}

(x - 5) (x - 6) = \frac{25}{2 4 ^{2}}

46 \cdot x^{2} - 13 x - 26 = 0

x, a = (4 x + y)^{2}

(x - 1) (x^{2} - x + 1) = x^{3} - 1

(3 x)^{2} - 2 = 1

What are the solutions to the equation 4/8 x^2+3/2 x-0.5=0 ?
The solutions to the equation 4/8 x^2+3/2 x-0.5=0 are x=(-3+sqrt(13))/2 ,x=-(3+sqrt(13))/2
Find the zeros of 4/8 x^2+3/2 x-0.5=0
The zeros of 4/8 x^2+3/2 x-0.5=0 are x=(-3+sqrt(13))/2 ,x=-(3+sqrt(13))/2