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

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

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}

∣ 3 a + 8 ∣ = ∣ 4 a - 6 ∣

x^{2} - 4 x + 1 = 0

3 x^{3} + 3 x y - 3 y^{3}

\frac{12 x ^{6} y ^{5}}{8 x ^{4} y ^{2}}

x^{\frac{2}{3}} \cdot x^{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