What are the solutions to the equation x^2-2*10^{-6}x-3*10^{-12}=0 ?

The solutions to the equation x^2-2*10^{-6}x-3*10^{-12}=0 are x=0,x= 1/500000

Find the zeros of x^2-2*10^{-6}x-3*10^{-12}=0

The zeros of x^2-2*10^{-6}x-3*10^{-12}=0 are x=0,x= 1/500000

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x^{2} - 2 \cdot 1 0^{- 6} x - 3 \cdot 1 0^{- 12} = 0

x = 0, x = \frac{1}{500000}

Decimal Notation

x = 0, x = 0.000002

Solution steps

x^{2} - 2 \cdot 1 0^{- 6} x - 3 \cdot 1 0^{- 12} = 0

Move

3 \cdot 1 0^{- 12}

to the right side

x^{2} - 2 \cdot 1 0^{- 6} x = 0

Factor

x^{2} - 2 \cdot 1 0^{- 6} x : x (x - \frac{1}{500000})

x (x - \frac{1}{500000}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - \frac{1}{500000} = 0

Solve

x - \frac{1}{500000} = 0 : x = \frac{1}{500000}

The solutions to the quadratic equation are:

x = 0, x = \frac{1}{500000}

x^{2} + a x - 2 a^{2} = 0

x (3 x + 8) = 0

4 x^{2} - 4 a^{2} x - b^{4} + a^{4} = 0

x^{2} - 5 x + 29 = 7 x - 6

u, x = u^{2} - v^{2}

What are the solutions to the equation x^2-2*10^{-6}x-3*10^{-12}=0 ?
The solutions to the equation x^2-2*10^{-6}x-3*10^{-12}=0 are x=0,x= 1/500000
Find the zeros of x^2-2*10^{-6}x-3*10^{-12}=0
The zeros of x^2-2*10^{-6}x-3*10^{-12}=0 are x=0,x= 1/500000