What are the solutions to the equation 2.3x10^9=(1x10^3)(2.3x10^n) ?

The solutions to the equation 2.3x10^9=(1x10^3)(2.3x10^n) are x=0,x=10^{6-n}

Find the zeros of 2.3x10^9=(1x10^3)(2.3x10^n)

The zeros of 2.3x10^9=(1x10^3)(2.3x10^n) are x=0,x=10^{6-n}

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2.3 x 1 0^{9} = (1 x 1 0^{3}) (2.3 x 1 0^{n})

x = 0, x = 1 0^{6 - n}

Solution steps

2.3 x \cdot 1 0^{9} = (1 \cdot x \cdot 1 0^{3}) (2.3 x \cdot 1 0^{n})

Move

(1 x 1 0^{3}) (2.3 x 1 0^{n})

to the left side

2.3 x \cdot 1 0^{9} - 1 \cdot x \cdot 1 0^{3} \cdot 2.3 x \cdot 1 0^{n} = 0

Factor

2.3 x \cdot 1 0^{9} - 1 \cdot x \cdot 1 0^{3} \cdot 2.3 x \cdot 1 0^{n} : 2300 x (1000000 - 1 0^{n} x)

2300 x (1000000 - 1 0^{n} x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 1000000 - 1 0^{n} x = 0

Solve

1000000 - 1 0^{n} x = 0 : x = 1 0^{6 - n}

The solutions to the quadratic equation are:

x = 0, x = 1 0^{6 - n}

(x + 5) (2 x - 3) = 0

6 x^{2} + 4 x - 32 = 0

x^{2} - 18 x - 144 = 0

3 x^{2} - 6 x + 0 = 0

x, z = x^{2} + x y + y^{2}

What are the solutions to the equation 2.3x10^9=(1x10^3)(2.3x10^n) ?
The solutions to the equation 2.3x10^9=(1x10^3)(2.3x10^n) are x=0,x=10^{6-n}
Find the zeros of 2.3x10^9=(1x10^3)(2.3x10^n)
The zeros of 2.3x10^9=(1x10^3)(2.3x10^n) are x=0,x=10^{6-n}