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受欢迎的代数 >

x^2+7x+19=0

解答

x^{2} + 7 x + 19 = 0

解答

x = - \frac{7}{2} + i \frac{3 3}{2}, x = - \frac{7}{2} - i \frac{3 3}{2}

求解步骤

x^{2} + 7 x + 19 = 0

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 19}{2 \cdot 1}

化简

7^{2} - 4 \cdot 1 \cdot 19 : 33 i

x_{1, 2} = \frac{- 7 \pm 3 3 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 7 + 3 3 i}{2 \cdot 1}, x_{2} = \frac{- 7 - 3 3 i}{2 \cdot 1}

x = \frac{- 7 + 3 3 i}{2 \cdot 1} : - \frac{7}{2} + i \frac{3 3}{2}

x = \frac{- 7 - 3 3 i}{2 \cdot 1} : - \frac{7}{2} - i \frac{3 3}{2}

二次方程组的解是:

x = - \frac{7}{2} + i \frac{3 3}{2}, x = - \frac{7}{2} - i \frac{3 3}{2}

作图

流行的例子

74 x^{2} + 1 = 10 x

solvefor x,f(a+1)=4x^2-x+3

so l v e f or x, f (a + 1) = 4 x^{2} - x + 3

m^{2} + 6 m + 7 = 0

solvefor x,9x^2+4y^2-12z=0

so l v e f or x, 9 x^{2} + 4 y^{2} - 12 z = 0

solvefor x,r=(kx^2)/y

so l v e f or x, r = \frac{k x ^{2}}{y}