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受欢迎的代数 >

(y/4)^2-(y/3)^2=1

解答

(\frac{y}{4})^{2} - (\frac{y}{3})^{2} = 1

解答

y = - i \frac{12 7}{7}, y = i \frac{12 7}{7}

求解步骤

(\frac{y}{4})^{2} - (\frac{y}{3})^{2} = 1

展开

(\frac{y}{4})^{2} - (\frac{y}{3})^{2} : - \frac{7 y ^{2}}{144}

- \frac{7 y ^{2}}{144} = 1

将

1

para o lado esquerdo

- \frac{7 y ^{2}}{144} - 1 = 0

使用求根公式求解

y_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 ( - \frac{7}{144} ) ( - 1 )}{2 ( - \frac{7}{144} )}

化简

0^{2} - 4 (- \frac{7}{144}) (- 1) : i \frac{7}{6}

y_{1, 2} = \frac{- 0 \pm i \frac{7}{6}}{2 ( - \frac{7}{144} )}

将解分隔开

y_{1} = \frac{- 0 + i \frac{7}{6}}{2 ( - \frac{7}{144} )}, y_{2} = \frac{- 0 - i \frac{7}{6}}{2 ( - \frac{7}{144} )}

y = \frac{- 0 + i \frac{7}{6}}{2 ( - \frac{7}{144} )} : - i \frac{12 7}{7}

y = \frac{- 0 - i \frac{7}{6}}{2 ( - \frac{7}{144} )} : i \frac{12 7}{7}

二次方程组的解是:

y = - i \frac{12 7}{7}, y = i \frac{12 7}{7}

作图

流行的例子

x^{2} - 2 x = 6 - x

6 u^{2} + u - 12 = 0

(4+3)-(3x^2)+1=3

(4 + 3) - (3 x^{2}) + 1 = 3

completesquare 3x^2-2x-5=0

co m pl e t es q u a re 3 x^{2} - 2 x - 5 = 0

0 = 2 m - 3 m^{2}