What are the solutions to the equation v^1c^1=v^2c^2 ?

The solutions to the equation v^1c^1=v^2c^2 are v=0,v= 1/c ;\quad c\ne 0

Find the zeros of v^1c^1=v^2c^2

The zeros of v^1c^1=v^2c^2 are v=0,v= 1/c ;\quad c\ne 0

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v^{1} c^{1} = v^{2} c^{2}

v = 0, v = \frac{1}{c}; c \neq = 0

Solution steps

v^{1} c^{1} = v^{2} c^{2}

Move

v^{2} c^{2}

to the left side

v^{1} c^{1} - v^{2} c^{2} = 0

Factor

v^{1} c^{1} - v^{2} c^{2} : c v (1 - c v)

c v (1 - c v) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

v = 0 or 1 - c v = 0

Solve

1 - c v = 0 : v = \frac{1}{c}; c \neq = 0

The solutions to the quadratic equation are:

v = 0, v = \frac{1}{c}; c \neq = 0

2 x^{2} - 5 x + 2 = 0, x - 2 < 0

x, x^{2} + (q - 2) x + 10 - q = 0

x, f x = 3 x^{2} + 5 x - 2

x^{2} + 1 = \frac{41}{25}

5 \cdot x^{2} + 8 x - 45 = 0

What are the solutions to the equation v^1c^1=v^2c^2 ?
The solutions to the equation v^1c^1=v^2c^2 are v=0,v= 1/c ;\quad c\ne 0
Find the zeros of v^1c^1=v^2c^2
The zeros of v^1c^1=v^2c^2 are v=0,v= 1/c ;\quad c\ne 0