What are the solutions to the equation 4800008x^2=0.0233-x ?

The solutions to the equation 4800008x^2=0.0233-x are

Find the zeros of 4800008x^2=0.0233-x

The zeros of 4800008x^2=0.0233-x are

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4800008 x^{2} = 0.0233 - x

x = \frac{- 1 + 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}, x = \frac{- 1 - 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}

Decimal Notation

x = 0.00006 \dots, x = - 0.00006 \dots

Solution steps

4800008 x^{2} = 0.0233 - x

Move

x

to the left side

4800008 x^{2} + x = 0.0233

Move

0.0233

to the left side

4800008 x^{2} + x - 0.0233 = 0

Divide both sides by

4800008

\frac{4800008 x ^{2}}{4800008} + \frac{x}{4800008} - \frac{0.0233}{4800008} = \frac{0}{4800008}

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + \frac{1 \cdot x}{4800008} - \frac{0.0233}{4800008} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- \frac{1}{4800008} \pm ( \frac{1}{4800008} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{0.0233}{4800008} )}{2 \cdot 1}

(\frac{1}{4800008})^{2} - 4 \cdot 1 \cdot (- \frac{0.0233}{4800008}) = \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}

x_{1, 2} = \frac{- \frac{1}{4800008} \pm \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- \frac{1}{4800008} + \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{2 \cdot 1}, x_{2} = \frac{- \frac{1}{4800008} - \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{2 \cdot 1}

x = \frac{- \frac{1}{4800008} + \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{2 \cdot 1} : \frac{- 1 + 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}

x = \frac{- \frac{1}{4800008} - \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{2 \cdot 1} : \frac{- 1 - 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}

The solutions to the quadratic equation are:

x = \frac{- 1 + 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}, x = \frac{- 1 - 4800008 \frac{1}{480000 8 ^{2}} + \frac{0.0932}{4800008}}{9600016}

d^{2} - 12 d - 14 = - 6 d

12 y^{2} + 19 y + 5 = 0

x^{2} = - 5 x

(x^{2} + x + 3) = 0

x^{2} + 9 x + 20 = - 3 x

What are the solutions to the equation 4800008x^2=0.0233-x ?
The solutions to the equation 4800008x^2=0.0233-x are
Find the zeros of 4800008x^2=0.0233-x
The zeros of 4800008x^2=0.0233-x are