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受欢迎的代数 >

-x^2+10=4x+2

解答

- x^{2} + 10 = 4 x + 2

解答

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

+1

十进制

x = - 5.46410 \dots, x = 1.46410 \dots

求解步骤

- x^{2} + 10 = 4 x + 2

将

2

para o lado esquerdo

- x^{2} + 8 = 4 x

将

4 x

para o lado esquerdo

- x^{2} + 8 - 4 x = 0

改写成标准形式

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

- x^{2} - 4 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 1 ) \cdot 8}{2 ( - 1 )}

(- 4)^{2} - 4 (- 1) \cdot 8 = 43

x_{1, 2} = \frac{- ( - 4 ) \pm 4 3}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 4 3}{2 ( - 1 )}, x_{2} = \frac{- ( - 4 ) - 4 3}{2 ( - 1 )}

x = \frac{- ( - 4 ) + 4 3}{2 ( - 1 )} : - 2 (1 + 3)

x = \frac{- ( - 4 ) - 4 3}{2 ( - 1 )} : 2 (3 - 1)

二次方程组的解是:

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

作图

流行的例子

(3 x - 9)^{2} = 5 x + 7

c^{2} - 5 c + 9 = 0

y (y - 13) + 6 y = 18

7(x+5)(x-3)-5(x+3)(x-3)=0

7 (x + 5) (x - 3) - 5 (x + 3) (x - 3) = 0

2x^2+20x+15=127

2 x^{2} + 20 x + 15 = 127