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受欢迎的代数 >

2(3x^2-2x+2)=15*x^2

解答

2 (3 x^{2} - 2 x + 2) = 15 \cdot x^{2}

解答

x = - \frac{2 ( 1 + 10 )}{9}, x = \frac{2 ( 10 - 1 )}{9}

+1

十进制

x = - 0.92495 \dots, x = 0.48050 \dots

求解步骤

2 (3 x^{2} - 2 x + 2) = 15 x^{2}

展开

2 (3 x^{2} - 2 x + 2) : 6 x^{2} - 4 x + 4

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

将

15 \cdot x^{2}

para o lado esquerdo

- 9 x^{2} - 4 x + 4 = 0

使用求根公式求解

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

(- 4)^{2} - 4 (- 9) \cdot 4 = 410

x_{1, 2} = \frac{- ( - 4 ) \pm 4 10}{2 ( - 9 )}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 4 10}{2 ( - 9 )}, x_{2} = \frac{- ( - 4 ) - 4 10}{2 ( - 9 )}

x = \frac{- ( - 4 ) + 4 10}{2 ( - 9 )} : - \frac{2 ( 1 + 10 )}{9}

x = \frac{- ( - 4 ) - 4 10}{2 ( - 9 )} : \frac{2 ( 10 - 1 )}{9}

二次方程组的解是:

x = - \frac{2 ( 1 + 10 )}{9}, x = \frac{2 ( 10 - 1 )}{9}

作图

流行的例子

5 n^{2} = - 8 n - 8

3 z^{2} - 27 = 0

3x^2-2(a+b)x-(a+b)^2=0

3 x^{2} - 2 (a + b) x - (a + b)^{2} = 0

((y-2)^2)/3 =8-y

\frac{( y - 2 ) ^{2}}{3} = 8 - y

solvefor x,2x^2-3x-5=0

so l v e f or x, 2 x^{2} - 3 x - 5 = 0