What are the solutions to the equation x(x+18)=e^3 ?

The solutions to the equation x(x+18)=e^3 are x=(-18+sqrt(324+4e^3))/2 ,x=(-18-sqrt(324+4e^3))/2

Find the zeros of x(x+18)=e^3

The zeros of x(x+18)=e^3 are x=(-18+sqrt(324+4e^3))/2 ,x=(-18-sqrt(324+4e^3))/2

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x (x + 18) = e^{3}

x = \frac{- 18 + 324 + 4 e ^{3}}{2}, x = \frac{- 18 - 324 + 4 e ^{3}}{2}

Decimal Notation

x = 1.05413 \dots, x = - 19.05413 \dots

Solution steps

x (x + 18) = e^{3}

Expand

x (x + 18) : x^{2} + 18 x

x^{2} + 18 x = e^{3}

Move

e^{3}

to the left side

x^{2} + 18 x - e^{3} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 1 \cdot ( - e ^{3} )}{2 \cdot 1}

1 8^{2} - 4 \cdot 1 \cdot (- e^{3}) = 324 + 4 e^{3}

x_{1, 2} = \frac{- 18 \pm 324 + 4 e ^{3}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 18 + 324 + 4 e ^{3}}{2 \cdot 1}, x_{2} = \frac{- 18 - 324 + 4 e ^{3}}{2 \cdot 1}

x = \frac{- 18 + 324 + 4 e ^{3}}{2 \cdot 1} : \frac{- 18 + 324 + 4 e ^{3}}{2}

x = \frac{- 18 - 324 + 4 e ^{3}}{2 \cdot 1} : \frac{- 18 - 324 + 4 e ^{3}}{2}

The solutions to the quadratic equation are:

x = \frac{- 18 + 324 + 4 e ^{3}}{2}, x = \frac{- 18 - 324 + 4 e ^{3}}{2}

g (n) = 2 n^{2} - 4, g (- 2)

1 1^{2} + x^{2} = 1 3^{2}

x^{2} - 12 x - 39 = 0

x^{2} + 800 x - 32 = 0

x^{2} = 4^{2} + 6^{2}

What are the solutions to the equation x(x+18)=e^3 ?
The solutions to the equation x(x+18)=e^3 are x=(-18+sqrt(324+4e^3))/2 ,x=(-18-sqrt(324+4e^3))/2
Find the zeros of x(x+18)=e^3
The zeros of x(x+18)=e^3 are x=(-18+sqrt(324+4e^3))/2 ,x=(-18-sqrt(324+4e^3))/2