What are the solutions to the equation solvefor b,19a^2+22b^2=43a^2b^2 ?

The solutions to the equation solvefor b,19a^2+22b^2=43a^2b^2 are

Find the zeros of solvefor b,19a^2+22b^2=43a^2b^2

The zeros of solvefor b,19a^2+22b^2=43a^2b^2 are

solve for

b, 19 a^{2} + 22 b^{2} = 43 a^{2} b^{2}

b = i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}, b = - i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}; a \neq = \frac{22}{43}, a \neq = - \frac{22}{43}

Solution steps

19 a^{2} + 22 b^{2} = 43 a^{2} b^{2}

Move

19 a^{2}

to the right side

22 b^{2} = 43 a^{2} b^{2} - 19 a^{2}

Move

43 a^{2} b^{2}

to the left side

22 b^{2} - 43 a^{2} b^{2} = - 19 a^{2}

Factor

22 b^{2} - 43 a^{2} b^{2} : b^{2} (22 - 43 a^{2})

b^{2} (22 - 43 a^{2}) = - 19 a^{2}

Divide both sides by

22 - 43 a^{2}; a \neq = \frac{22}{43}, a \neq = - \frac{22}{43}

b^{2} = - \frac{19 a ^{2}}{22 - 43 a ^{2}}; a \neq = \frac{22}{43}, a \neq = - \frac{22}{43}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

b = - \frac{19 a ^{2}}{22 - 43 a ^{2}}, b = - - \frac{19 a ^{2}}{22 - 43 a ^{2}}; a \neq = \frac{22}{43}, a \neq = - \frac{22}{43}

Simplify

- \frac{19 a ^{2}}{22 - 43 a ^{2}} : i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}

Simplify

- - \frac{19 a ^{2}}{22 - 43 a ^{2}} : - i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}

b = i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}, b = - i \frac{19 a 22 - 43 a ^{2}}{22 - 43 a ^{2}}; a \neq = \frac{22}{43}, a \neq = - \frac{22}{43}

What are the solutions to the equation solvefor b,19a^2+22b^2=43a^2b^2 ?
The solutions to the equation solvefor b,19a^2+22b^2=43a^2b^2 are
Find the zeros of solvefor b,19a^2+22b^2=43a^2b^2
The zeros of solvefor b,19a^2+22b^2=43a^2b^2 are