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受欢迎的代数 >

8x=5+2x^2

解答

8 x = 5 + 2 x^{2}

解答

x = \frac{4 + 6}{2}, x = \frac{4 - 6}{2}

+1

十进制

x = 3.22474 \dots, x = 0.77525 \dots

求解步骤

8 x = 5 + 2 x^{2}

交换两边

5 + 2 x^{2} = 8 x

将

8 x

para o lado esquerdo

5 + 2 x^{2} - 8 x = 0

改写成标准形式

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

2 x^{2} - 8 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 \cdot 5}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 \cdot 5 = 26

x_{1, 2} = \frac{- ( - 8 ) \pm 2 6}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 6}{2 \cdot 2}, x_{2} = \frac{- ( - 8 ) - 2 6}{2 \cdot 2}

x = \frac{- ( - 8 ) + 2 6}{2 \cdot 2} : \frac{4 + 6}{2}

x = \frac{- ( - 8 ) - 2 6}{2 \cdot 2} : \frac{4 - 6}{2}

二次方程组的解是:

x = \frac{4 + 6}{2}, x = \frac{4 - 6}{2}

作图

流行的例子

completesquare x^2+8x+15=0

co m pl e t es q u a re x^{2} + 8 x + 15 = 0

completesquare x^2+1/2 x

co m pl e t es q u a re x^{2} + \frac{1}{2} x

solvefor x,x^2y+y^2-3x^2=0

so l v e f or x, x^{2} y + y^{2} - 3 x^{2} = 0

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