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受欢迎的代数 >

4x^2-36x=-69

解答

4 x^{2} - 36 x = - 69

解答

x = \frac{9 + 2 3}{2}, x = \frac{9 - 2 3}{2}

+1

十进制

x = 6.23205 \dots, x = 2.76794 \dots

求解步骤

4 x^{2} - 36 x = - 69

将

69

para o lado esquerdo

4 x^{2} - 36 x + 69 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 4 \cdot 69}{2 \cdot 4}

(- 36)^{2} - 4 \cdot 4 \cdot 69 = 83

x_{1, 2} = \frac{- ( - 36 ) \pm 8 3}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 36 ) + 8 3}{2 \cdot 4}, x_{2} = \frac{- ( - 36 ) - 8 3}{2 \cdot 4}

x = \frac{- ( - 36 ) + 8 3}{2 \cdot 4} : \frac{9 + 2 3}{2}

x = \frac{- ( - 36 ) - 8 3}{2 \cdot 4} : \frac{9 - 2 3}{2}

二次方程组的解是:

x = \frac{9 + 2 3}{2}, x = \frac{9 - 2 3}{2}

作图

流行的例子

10 x^{2} - 8 x - 8 = 0

4 x^{2} + 61 = 28 x

6 (x - 3)^{2} - 6 = 0

solvefor y,x^2+2xy+y^2=0

so l v e f or y, x^{2} + 2 x y + y^{2} = 0

- 4 x^{2} - 24 x - 36 = 0