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受欢迎的代数 >

6-5a^2=-6a+4

解答

6 - 5 a^{2} = - 6 a + 4

解答

a = - \frac{- 3 + 19}{5}, a = \frac{3 + 19}{5}

+1

十进制

a = - 0.27177 \dots, a = 1.47177 \dots

求解步骤

6 - 5 a^{2} = - 6 a + 4

将

4

para o lado esquerdo

- 5 a^{2} + 2 = - 6 a

将

6 a

para o lado esquerdo

- 5 a^{2} + 2 + 6 a = 0

改写成标准形式

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

- 5 a^{2} + 6 a + 2 = 0

使用求根公式求解

a_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 5 ) \cdot 2}{2 ( - 5 )}

6^{2} - 4 (- 5) \cdot 2 = 219

a_{1, 2} = \frac{- 6 \pm 2 19}{2 ( - 5 )}

将解分隔开

a_{1} = \frac{- 6 + 2 19}{2 ( - 5 )}, a_{2} = \frac{- 6 - 2 19}{2 ( - 5 )}

a = \frac{- 6 + 2 19}{2 ( - 5 )} : - \frac{- 3 + 19}{5}

a = \frac{- 6 - 2 19}{2 ( - 5 )} : \frac{3 + 19}{5}

二次方程组的解是:

a = - \frac{- 3 + 19}{5}, a = \frac{3 + 19}{5}

作图

流行的例子

A = - 5 x^{2} + 78 x + 21

x^{2} + 99 = 16 x + 10

solvefor x,y=x^2-6x

so l v e f or x, y = x^{2} - 6 x

solvefor x,f(x-2)=x^2+9x+5

so l v e f or x, f (x - 2) = x^{2} + 9 x + 5

- t^{2} + 12 t = 32