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受欢迎的代数 >

(4x+3)-(5x+2)(2x-5)=0

解答

(4 x + 3) - (5 x + 2) (2 x - 5) = 0

解答

x = - \frac{- 25 + 1145}{20}, x = \frac{25 + 1145}{20}

+1

十进制

x = - 0.44189 \dots, x = 2.94189 \dots

求解步骤

(4 x + 3) - (5 x + 2) (2 x - 5) = 0

展开

(4 x + 3) - (5 x + 2) (2 x - 5) : - 10 x^{2} + 25 x + 13

- 10 x^{2} + 25 x + 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- 25 \pm 2 5 ^{2} - 4 ( - 10 ) \cdot 13}{2 ( - 10 )}

2 5^{2} - 4 (- 10) \cdot 13 = 1145

x_{1, 2} = \frac{- 25 \pm 1145}{2 ( - 10 )}

将解分隔开

x_{1} = \frac{- 25 + 1145}{2 ( - 10 )}, x_{2} = \frac{- 25 - 1145}{2 ( - 10 )}

x = \frac{- 25 + 1145}{2 ( - 10 )} : - \frac{- 25 + 1145}{20}

x = \frac{- 25 - 1145}{2 ( - 10 )} : \frac{25 + 1145}{20}

二次方程组的解是:

x = - \frac{- 25 + 1145}{20}, x = \frac{25 + 1145}{20}

作图

流行的例子

- 5 x^{2} - 400 = - 90 x

2 (x^{2} + 2) = - 9 x

3 x (x - 2) = 5

solvefor x,f(x+3)=x^2+3x+5

so l v e f or x, f (x + 3) = x^{2} + 3 x + 5

(p + 8)^{2} = 144