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受欢迎的代数 >

13^2-10r-10=10r^2-6

解答

1 3^{2} - 10 r - 10 = 10 r^{2} - 6

解答

r = \frac{- 1 + 67}{2}, r = - \frac{1 + 67}{2}

+1

十进制

r = 3.59267 \dots, r = - 4.59267 \dots

求解步骤

1 3^{2} - 10 r - 10 = 10 r^{2} - 6

展开

1 3^{2} - 10 r - 10 : - 10 r + 159

- 10 r + 159 = 10 r^{2} - 6

交换两边

10 r^{2} - 6 = - 10 r + 159

将

159

para o lado esquerdo

10 r^{2} - 165 = - 10 r

将

10 r

para o lado esquerdo

10 r^{2} - 165 + 10 r = 0

改写成标准形式

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

10 r^{2} + 10 r - 165 = 0

使用求根公式求解

r_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 10 ( - 165 )}{2 \cdot 10}

1 0^{2} - 4 \cdot 10 (- 165) = 1067

r_{1, 2} = \frac{- 10 \pm 10 67}{2 \cdot 10}

将解分隔开

r_{1} = \frac{- 10 + 10 67}{2 \cdot 10}, r_{2} = \frac{- 10 - 10 67}{2 \cdot 10}

r = \frac{- 10 + 10 67}{2 \cdot 10} : \frac{- 1 + 67}{2}

r = \frac{- 10 - 10 67}{2 \cdot 10} : - \frac{1 + 67}{2}

二次方程组的解是:

r = \frac{- 1 + 67}{2}, r = - \frac{1 + 67}{2}

作图

流行的例子

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