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受欢迎的代数 >

7x+2=-3x^2

解答

7 x + 2 = - 3 x^{2}

解答

x = - 2, x = - \frac{1}{3}

+1

十进制

x = - 2, x = - 0.33333 \dots

求解步骤

7 x + 2 = - 3 x^{2}

交换两边

- 3 x^{2} = 7 x + 2

将

2

para o lado esquerdo

- 3 x^{2} - 2 = 7 x

将

7 x

para o lado esquerdo

- 3 x^{2} - 2 - 7 x = 0

改写成标准形式

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

- 3 x^{2} - 7 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 3 ) ( - 2 )}{2 ( - 3 )}

(- 7)^{2} - 4 (- 3) (- 2) = 5

x_{1, 2} = \frac{- ( - 7 ) \pm 5}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 5}{2 ( - 3 )}, x_{2} = \frac{- ( - 7 ) - 5}{2 ( - 3 )}

x = \frac{- ( - 7 ) + 5}{2 ( - 3 )} : - 2

x = \frac{- ( - 7 ) - 5}{2 ( - 3 )} : - \frac{1}{3}

二次方程组的解是:

x = - 2, x = - \frac{1}{3}

作图

流行的例子

3 x^{2} - x - 9 = 0

(4+3y)^2+y^2=146

(4 + 3 y)^{2} + y^{2} = 146

solvefor x,x^2y-x=4y

so l v e f or x, x^{2} y - x = 4 y

completesquare-x^2+4x=0

co m pl e t es q u a re - x^{2} + 4 x = 0

completesquare 4x^2+12x+3=0

co m pl e t es q u a re 4 x^{2} + 12 x + 3 = 0