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受欢迎的代数 >

3x^2+5=-13x+1

解答

3 x^{2} + 5 = - 13 x + 1

解答

x = - \frac{1}{3}, x = - 4

+1

十进制

x = - 0.33333 \dots, x = - 4

求解步骤

3 x^{2} + 5 = - 13 x + 1

将

1

para o lado esquerdo

3 x^{2} + 4 = - 13 x

将

13 x

para o lado esquerdo

3 x^{2} + 4 + 13 x = 0

改写成标准形式

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

3 x^{2} + 13 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 3 \cdot 4}{2 \cdot 3}

1 3^{2} - 4 \cdot 3 \cdot 4 = 11

x_{1, 2} = \frac{- 13 \pm 11}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 13 + 11}{2 \cdot 3}, x_{2} = \frac{- 13 - 11}{2 \cdot 3}

x = \frac{- 13 + 11}{2 \cdot 3} : - \frac{1}{3}

x = \frac{- 13 - 11}{2 \cdot 3} : - 4

二次方程组的解是:

x = - \frac{1}{3}, x = - 4

作图

流行的例子

x^{2} - 4 = 5

因式分解 x^2-3x=0

f a c t or x^{2} - 3 x = 0

solvefor x,x^2+y^2-4x+6y+13=0

so l v e f or x, x^{2} + y^{2} - 4 x + 6 y + 13 = 0

x^{2} + 61 = - 10 x

(x - 5) (x - 5) = 0