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受欢迎的代数 >

solvefor x,1-6x+9x^2=t

解答

求解

x, 1 - 6 x + 9 x^{2} = t

解答

x = \frac{1 + t}{3}, x = \frac{1 - t}{3}

求解步骤

1 - 6 x + 9 x^{2} = t

将

t

para o lado esquerdo

1 - 6 x + 9 x^{2} - t = 0

改写成标准形式

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

9 x^{2} - 6 x + 1 - t = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 9 ( 1 - t )}{2 \cdot 9}

化简

(- 6)^{2} - 4 \cdot 9 (1 - t) : 6 t

x_{1, 2} = \frac{- ( - 6 ) \pm 6 t}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 6 t}{2 \cdot 9}, x_{2} = \frac{- ( - 6 ) - 6 t}{2 \cdot 9}

x = \frac{- ( - 6 ) + 6 t}{2 \cdot 9} : \frac{1 + t}{3}

x = \frac{- ( - 6 ) - 6 t}{2 \cdot 9} : \frac{1 - t}{3}

二次方程组的解是:

x = \frac{1 + t}{3}, x = \frac{1 - t}{3}

作图

流行的例子

solvefor x,2f(x+2)^2=3(x+2)

so l v e f or x, 2 f (x + 2)^{2} = 3 (x + 2)

4 x^{2} - 15 = - 4 x

(11x-2)^2-3(11x-2)-10=0

(11 x - 2)^{2} - 3 (11 x - 2) - 10 = 0

x^2-6000x-3000000=0

x^{2} - 6000 x - 3000000 = 0

0 = x (x + 3)