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受欢迎的代数 >

24x^2-3x-11=0

解答

24 x^{2} - 3 x - 11 = 0

解答

x = \frac{3 + 1065}{48}, x = \frac{3 - 1065}{48}

+1

十进制

x = 0.74238 \dots, x = - 0.61738 \dots

求解步骤

24 x^{2} - 3 x - 11 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 24 ( - 11 )}{2 \cdot 24}

(- 3)^{2} - 4 \cdot 24 (- 11) = 1065

x_{1, 2} = \frac{- ( - 3 ) \pm 1065}{2 \cdot 24}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 1065}{2 \cdot 24}, x_{2} = \frac{- ( - 3 ) - 1065}{2 \cdot 24}

x = \frac{- ( - 3 ) + 1065}{2 \cdot 24} : \frac{3 + 1065}{48}

x = \frac{- ( - 3 ) - 1065}{2 \cdot 24} : \frac{3 - 1065}{48}

二次方程组的解是:

x = \frac{3 + 1065}{48}, x = \frac{3 - 1065}{48}

作图

流行的例子

solvefor x,z=yx^2z^2-xy^4+xy

so l v e f or x, z = y x^{2} z^{2} - x y^{4} + x y

y^2=sqrt((4430523)^2+(3166128)^2)

y^{2} = (4430523)^{2} + (3166128)^{2}

15 x^{2} - 23 x - 10 = 0

solvefor x,4x^2+y^2+z^2=1

so l v e f or x, 4 x^{2} + y^{2} + z^{2} = 1

11 n^{2} - 11 n = - 3