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受欢迎的代数 >

17w^2+4w-7=2w^2+6w+1

解答

17 w^{2} + 4 w - 7 = 2 w^{2} + 6 w + 1

解答

w = \frac{4}{5}, w = - \frac{2}{3}

+1

十进制

w = 0.8, w = - 0.66666 \dots

求解步骤

17 w^{2} + 4 w - 7 = 2 w^{2} + 6 w + 1

将

1

para o lado esquerdo

17 w^{2} + 4 w - 8 = 2 w^{2} + 6 w

将

6 w

para o lado esquerdo

17 w^{2} - 2 w - 8 = 2 w^{2}

将

2 w^{2}

para o lado esquerdo

15 w^{2} - 2 w - 8 = 0

使用求根公式求解

w_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 15 ( - 8 )}{2 \cdot 15}

(- 2)^{2} - 4 \cdot 15 (- 8) = 22

w_{1, 2} = \frac{- ( - 2 ) \pm 22}{2 \cdot 15}

将解分隔开

w_{1} = \frac{- ( - 2 ) + 22}{2 \cdot 15}, w_{2} = \frac{- ( - 2 ) - 22}{2 \cdot 15}

w = \frac{- ( - 2 ) + 22}{2 \cdot 15} : \frac{4}{5}

w = \frac{- ( - 2 ) - 22}{2 \cdot 15} : - \frac{2}{3}

二次方程组的解是:

w = \frac{4}{5}, w = - \frac{2}{3}

作图

流行的例子

λ^{2} - 9 λ + 18 = 0

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

(D^{2} + 1) = 0

0 = 3 x^{2} - 9 x - 54

-9x^2+18x+135=0

- 9 x^{2} + 18 x + 135 = 0