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受欢迎的代数 >

18x^2+12x+15=8x^2+5

解答

18 x^{2} + 12 x + 15 = 8 x^{2} + 5

解答

x = - \frac{3}{5} + i \frac{4}{5}, x = - \frac{3}{5} - i \frac{4}{5}

求解步骤

18 x^{2} + 12 x + 15 = 8 x^{2} + 5

将

5

para o lado esquerdo

18 x^{2} + 12 x + 10 = 8 x^{2}

将

8 x^{2}

para o lado esquerdo

10 x^{2} + 12 x + 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 10 \cdot 10}{2 \cdot 10}

化简

1 2^{2} - 4 \cdot 10 \cdot 10 : 16 i

x_{1, 2} = \frac{- 12 \pm 16 i}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- 12 + 16 i}{2 \cdot 10}, x_{2} = \frac{- 12 - 16 i}{2 \cdot 10}

x = \frac{- 12 + 16 i}{2 \cdot 10} : - \frac{3}{5} + i \frac{4}{5}

x = \frac{- 12 - 16 i}{2 \cdot 10} : - \frac{3}{5} - i \frac{4}{5}

二次方程组的解是:

x = - \frac{3}{5} + i \frac{4}{5}, x = - \frac{3}{5} - i \frac{4}{5}

作图

流行的例子

y^{2} = \frac{3}{4}

x^{2} + 10 x + 4.75 = 0

1/2 (x-1)^2-4=-1

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

12 - x^{2} = x^{2} - 2 x

a^{2} - 5 a - 14 = 0