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受欢迎的代数 >

4x^2=8x-7

解答

4 x^{2} = 8 x - 7

解答

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

求解步骤

4 x^{2} = 8 x - 7

将

7

para o lado esquerdo

4 x^{2} + 7 = 8 x

将

8 x

para o lado esquerdo

4 x^{2} + 7 - 8 x = 0

改写成标准形式

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

4 x^{2} - 8 x + 7 = 0

使用求根公式求解

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

化简

(- 8)^{2} - 4 \cdot 4 \cdot 7 : 43 i

x_{1, 2} = \frac{- ( - 8 ) \pm 4 3 i}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 4 3 i}{2 \cdot 4}, x_{2} = \frac{- ( - 8 ) - 4 3 i}{2 \cdot 4}

x = \frac{- ( - 8 ) + 4 3 i}{2 \cdot 4} : 1 + i \frac{3}{2}

x = \frac{- ( - 8 ) - 4 3 i}{2 \cdot 4} : 1 - i \frac{3}{2}

二次方程组的解是:

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

作图

流行的例子

r^{2} = 80

a^{2} - 3 a - 1 = 6

solvefor x,z=x^2+4y^2

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

solvefor x,y=x^2-3x+2

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

\frac{1}{2} x^{2} - 5 = 5