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受欢迎的代数 >

2d^2-8d+19=6d

解答

2 d^{2} - 8 d + 19 = 6 d

解答

d = \frac{7 + 11}{2}, d = \frac{7 - 11}{2}

+1

十进制

d = 5.15831 \dots, d = 1.84168 \dots

求解步骤

2 d^{2} - 8 d + 19 = 6 d

将

6 d

para o lado esquerdo

2 d^{2} - 14 d + 19 = 0

使用求根公式求解

d_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 2 \cdot 19}{2 \cdot 2}

(- 14)^{2} - 4 \cdot 2 \cdot 19 = 211

d_{1, 2} = \frac{- ( - 14 ) \pm 2 11}{2 \cdot 2}

将解分隔开

d_{1} = \frac{- ( - 14 ) + 2 11}{2 \cdot 2}, d_{2} = \frac{- ( - 14 ) - 2 11}{2 \cdot 2}

d = \frac{- ( - 14 ) + 2 11}{2 \cdot 2} : \frac{7 + 11}{2}

d = \frac{- ( - 14 ) - 2 11}{2 \cdot 2} : \frac{7 - 11}{2}

二次方程组的解是:

d = \frac{7 + 11}{2}, d = \frac{7 - 11}{2}

作图

流行的例子

12 x^{2} + 12 x - 6 = 0

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

x^{2} - 5 x + 9 = 3

completesquare x^2+4x-3

co m pl e t es q u a re x^{2} + 4 x - 3

x^{2} - 6 = - 5 x