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受欢迎的代数 >

r^2+4r+76/3 =0

解答

r^{2} + 4 r + \frac{76}{3} = 0

解答

r = - 2 + i \frac{8 3}{3}, r = - 2 - i \frac{8 3}{3}

求解步骤

r^{2} + 4 r + \frac{76}{3} = 0

在两边乘以

3

3 r^{2} + 12 r + 76 = 0

使用求根公式求解

r_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 3 \cdot 76}{2 \cdot 3}

化简

1 2^{2} - 4 \cdot 3 \cdot 76 : 163 i

r_{1, 2} = \frac{- 12 \pm 16 3 i}{2 \cdot 3}

将解分隔开

r_{1} = \frac{- 12 + 16 3 i}{2 \cdot 3}, r_{2} = \frac{- 12 - 16 3 i}{2 \cdot 3}

r = \frac{- 12 + 16 3 i}{2 \cdot 3} : - 2 + i \frac{8 3}{3}

r = \frac{- 12 - 16 3 i}{2 \cdot 3} : - 2 - i \frac{8 3}{3}

二次方程组的解是:

r = - 2 + i \frac{8 3}{3}, r = - 2 - i \frac{8 3}{3}

作图

流行的例子

1/4 y^2-3/5 y-1/4 =0

\frac{1}{4} y^{2} - \frac{3}{5} y - \frac{1}{4} = 0

x (x + 3) = 8 x - 2

12 x^{2} + 8 x - 1 = 0

x^2+3x-35=3x+13x+1

x^{2} + 3 x - 35 = 3 x + 13 x + 1

15+0.005V^1=10+0.02V^2

15 + 0.005 V^{1} = 10 + 0.02 V^{2}