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受欢迎的代数 >

x^2+2(3)x-3=(3)x^2+1

解答

x^{2} + 2 (3) x - 3 = (3) x^{2} + 1

解答

x = 1, x = 2

求解步骤

x^{2} + 2 (3) x - 3 = (3) x^{2} + 1

展开

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

x^{2} + 6 x - 3 = 3 x^{2} + 1

将

1

para o lado esquerdo

x^{2} + 6 x - 4 = 3 x^{2}

将

3 x^{2}

para o lado esquerdo

- 2 x^{2} + 6 x - 4 = 0

使用求根公式求解

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

6^{2} - 4 (- 2) (- 4) = 2

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

将解分隔开

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

x = \frac{- 6 + 2}{2 ( - 2 )} : 1

x = \frac{- 6 - 2}{2 ( - 2 )} : 2

二次方程组的解是:

x = 1, x = 2

作图

流行的例子

(x+4)^2+6=7(x+4)

(x + 4)^{2} + 6 = 7 (x + 4)

-4.9t^2+13t+18=0

- 4.9 t^{2} + 13 t + 18 = 0

25 x^{2} + 1 = 20 x

\frac{1}{2} c^{2} + 3 c = 1

t^{2} - t + 6 = 0