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受欢迎的代数 >

solvefor b,19a^2+22b^2=43a^2b^2

解答

求解

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

解答

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}

求解步骤

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

将

19 a^{2}

到右边

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

将

43 a^{2} b^{2}

para o lado esquerdo

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

分解

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

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

两边除以

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}

对于

x^{2} = f (a)

解为

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}

化简

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

化简

- - \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}

作图

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