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受欢迎的代数 >

x(x+3)=11x+16

解答

x (x + 3) = 11 x + 16

解答

x = 4 (1 + 2), x = 4 (1 - 2)

+1

十进制

x = 9.65685 \dots, x = - 1.65685 \dots

求解步骤

x (x + 3) = 11 x + 16

展开

x (x + 3) : x^{2} + 3 x

x^{2} + 3 x = 11 x + 16

将

16

para o lado esquerdo

x^{2} + 3 x - 16 = 11 x

将

11 x

para o lado esquerdo

x^{2} - 8 x - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot (- 16) = 82

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

将解分隔开

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

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

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

二次方程组的解是:

x = 4 (1 + 2), x = 4 (1 - 2)

作图

流行的例子

x^{2} + 20 x + 100 = 7

3x^2-18x-3=-10x

3 x^{2} - 18 x - 3 = - 10 x

x^{2} - 30 x + 100 = 0

15 x^{2} - 46 x + 16 = 0

2250=30x-0.1x^2

2250 = 30 x - 0.1 x^{2}