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受欢迎的代数 >

solvefor x,x^2-3kx-9k=0

解答

x, x^{2} - 3 k x - 9 k = 0

解答

x = \frac{3 k + 3 k ( k + 4 )}{2}, x = \frac{3 k - 3 k ( k + 4 )}{2}

求解步骤

x^{2} - 3 k x - 9 k = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 k ) \pm ( - 3 k ) ^{2} - 4 \cdot 1 \cdot ( - 9 k )}{2 \cdot 1}

化简

(- 3 k)^{2} - 4 \cdot 1 \cdot (- 9 k) : 3 k (k + 4)

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

将解分隔开

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

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

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

二次方程组的解是:

x = \frac{3 k + 3 k ( k + 4 )}{2}, x = \frac{3 k - 3 k ( k + 4 )}{2}

作图

流行的例子

x^2-14x-284=-2x

x^{2} - 14 x - 284 = - 2 x

因式分解 4x^2-12x+9=0

f a c t or 4 x^{2} - 12 x + 9 = 0

5^{2} + b^{2} = 9^{2}

x^{2} - x = 9

3x^2+x+7=x^2+10

3 x^{2} + x + 7 = x^{2} + 10