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受欢迎的代数 >

A=5x(3x+2)

解答

A = 5 x (3 x + 2)

解答

x = \frac{- 10 + 100 + 60 A}{30}, x = \frac{- 10 - 100 + 60 A}{30}

求解步骤

A = 5 x (3 x + 2)

展开

5 x (3 x + 2) : 15 x^{2} + 10 x

A = 15 x^{2} + 10 x

交换两边

15 x^{2} + 10 x = A

将

A

para o lado esquerdo

15 x^{2} + 10 x - A = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 15 ( - A )}{2 \cdot 15}

化简

1 0^{2} - 4 \cdot 15 (- A) : 100 + 60 A

x_{1, 2} = \frac{- 10 \pm 100 + 60 A}{2 \cdot 15}

将解分隔开

x_{1} = \frac{- 10 + 100 + 60 A}{2 \cdot 15}, x_{2} = \frac{- 10 - 100 + 60 A}{2 \cdot 15}

x = \frac{- 10 + 100 + 60 A}{2 \cdot 15} : \frac{- 10 + 100 + 60 A}{30}

x = \frac{- 10 - 100 + 60 A}{2 \cdot 15} : \frac{- 10 - 100 + 60 A}{30}

二次方程组的解是:

x = \frac{- 10 + 100 + 60 A}{30}, x = \frac{- 10 - 100 + 60 A}{30}

作图

流行的例子

-7x^2+4x+2/5 =0

- 7 x^{2} + 4 x + \frac{2}{5} = 0

(x - 2)^{2} - 72 = 0

x^{2} = 5 (x + 210)

solvefor x,g(1-t)=3x^2-5x+1

so l v e f or x, g (1 - t) = 3 x^{2} - 5 x + 1

6 a^{2} + 31 a + 5 = 0