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受欢迎的代数 >

2c^2-12c+7=-4c

解答

2 c^{2} - 12 c + 7 = - 4 c

解答

c = \frac{4 + 2}{2}, c = \frac{4 - 2}{2}

+1

十进制

c = 2.70710 \dots, c = 1.29289 \dots

求解步骤

2 c^{2} - 12 c + 7 = - 4 c

将

4 c

para o lado esquerdo

2 c^{2} - 8 c + 7 = 0

使用求根公式求解

c_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 \cdot 7}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 \cdot 7 = 22

c_{1, 2} = \frac{- ( - 8 ) \pm 2 2}{2 \cdot 2}

将解分隔开

c_{1} = \frac{- ( - 8 ) + 2 2}{2 \cdot 2}, c_{2} = \frac{- ( - 8 ) - 2 2}{2 \cdot 2}

c = \frac{- ( - 8 ) + 2 2}{2 \cdot 2} : \frac{4 + 2}{2}

c = \frac{- ( - 8 ) - 2 2}{2 \cdot 2} : \frac{4 - 2}{2}

二次方程组的解是:

c = \frac{4 + 2}{2}, c = \frac{4 - 2}{2}

作图

流行的例子

completesquare x^2-7

co m pl e t es q u a re x^{2} - 7

solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100)

so l v e f or x, 5 a x^{2} y - 5 x^{2} + 6 y^{3} = 100

(3x+1)(3x-1)=5x+3

(3 x + 1) (3 x - 1) = 5 x + 3

2a^2-5a-2=-3a^2

2 a^{2} - 5 a - 2 = - 3 a^{2}

3 x^{2} = 6 x + 1