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受欢迎的代数 >

13x^2-5x+12=0

解答

13 x^{2} - 5 x + 12 = 0

解答

x = \frac{5}{26} + i \frac{599}{26}, x = \frac{5}{26} - i \frac{599}{26}

求解步骤

13 x^{2} - 5 x + 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 13 \cdot 12}{2 \cdot 13}

化简

(- 5)^{2} - 4 \cdot 13 \cdot 12 : 599 i

x_{1, 2} = \frac{- ( - 5 ) \pm 599 i}{2 \cdot 13}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 599 i}{2 \cdot 13}, x_{2} = \frac{- ( - 5 ) - 599 i}{2 \cdot 13}

x = \frac{- ( - 5 ) + 599 i}{2 \cdot 13} : \frac{5}{26} + i \frac{599}{26}

x = \frac{- ( - 5 ) - 599 i}{2 \cdot 13} : \frac{5}{26} - i \frac{599}{26}

二次方程组的解是:

x = \frac{5}{26} + i \frac{599}{26}, x = \frac{5}{26} - i \frac{599}{26}

作图

流行的例子

x^{2} + 16 x = 30

solvefor y,X^2+y^2=3.24

so l v e f or y, X^{2} + y^{2} = 3.24

4 0^{2} + x^{2} = 5 0^{2}

64 x^{2} - 144 = - 23

solvefor y,(3y^2)/2 =x^2+x+c

so l v e f or y, \frac{3 y ^{2}}{2} = x^{2} + x + c