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受欢迎的代数 >

5(x-5)^2-4x(x+4)=13

解答

5 \cdot (x - 5)^{2} - 4 x \cdot (x + 4) = 13

解答

x = 33 + 977, x = 33 - 977

+1

十进制

x = 64.25699 \dots, x = 1.74300 \dots

求解步骤

5 (x - 5)^{2} - 4 x (x + 4) = 13

展开

5 (x - 5)^{2} - 4 x (x + 4) : x^{2} - 66 x + 125

x^{2} - 66 x + 125 = 13

将

13

para o lado esquerdo

x^{2} - 66 x + 112 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 66 ) \pm ( - 66 ) ^{2} - 4 \cdot 1 \cdot 112}{2 \cdot 1}

(- 66)^{2} - 4 \cdot 1 \cdot 112 = 2977

x_{1, 2} = \frac{- ( - 66 ) \pm 2 977}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 66 ) + 2 977}{2 \cdot 1}, x_{2} = \frac{- ( - 66 ) - 2 977}{2 \cdot 1}

x = \frac{- ( - 66 ) + 2 977}{2 \cdot 1} : 33 + 977

x = \frac{- ( - 66 ) - 2 977}{2 \cdot 1} : 33 - 977

二次方程组的解是:

x = 33 + 977, x = 33 - 977

作图

流行的例子

2 x^{2} + 40 x + 32 = 0

6 x^{2} - 4 x = - 2

solvefor r,V=pir^2

so l v e f or r, V = π r^{2}

completesquare {(sqrt(3))/2 (p-2)}^2

co m pl e t es q u a re {\frac{3}{2} (p - 2)}^{2}

solvefor x,x^2+y^2+z^2-4x=0

so l v e f or x, x^{2} + y^{2} + z^{2} - 4 x = 0