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受欢迎的代数 >

104=124x-14x^2

解答

104 = 124 x - 14 x^{2}

解答

x = \frac{31 - 597}{7}, x = \frac{31 + 597}{7}

+1

十进制

x = 0.93805 \dots, x = 7.91908 \dots

求解步骤

104 = 124 x - 14 x^{2}

交换两边

124 x - 14 x^{2} = 104

将

104

para o lado esquerdo

124 x - 14 x^{2} - 104 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 14 x^{2} + 124 x - 104 = 0

使用求根公式求解

x_{1, 2} = \frac{- 124 \pm 12 4 ^{2} - 4 ( - 14 ) ( - 104 )}{2 ( - 14 )}

12 4^{2} - 4 (- 14) (- 104) = 4597

x_{1, 2} = \frac{- 124 \pm 4 597}{2 ( - 14 )}

将解分隔开

x_{1} = \frac{- 124 + 4 597}{2 ( - 14 )}, x_{2} = \frac{- 124 - 4 597}{2 ( - 14 )}

x = \frac{- 124 + 4 597}{2 ( - 14 )} : \frac{31 - 597}{7}

x = \frac{- 124 - 4 597}{2 ( - 14 )} : \frac{31 + 597}{7}

二次方程组的解是:

x = \frac{31 - 597}{7}, x = \frac{31 + 597}{7}

作图

流行的例子

2 c^{2} - 12 c + 7 = - 4 c

completesquare x^2-7

co m pl e t es q u a re x^{2} - 7

solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100)

so l v e f or x, 5 a x^{2} y - 5 x^{2} + 6 y^{3} = 100

(3x+1)(3x-1)=5x+3

(3 x + 1) (3 x - 1) = 5 x + 3

2a^2-5a-2=-3a^2

2 a^{2} - 5 a - 2 = - 3 a^{2}