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受欢迎的代数 >

4+y^2=8+4y

解答

4 + y^{2} = 8 + 4 y

解答

y = 2 (1 + 2), y = 2 (1 - 2)

+1

十进制

y = 4.82842 \dots, y = - 0.82842 \dots

求解步骤

4 + y^{2} = 8 + 4 y

将

4 y

para o lado esquerdo

4 + y^{2} - 4 y = 8

将

8

para o lado esquerdo

y^{2} - 4 y - 4 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 4 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 4) = 42

y_{1, 2} = \frac{- ( - 4 ) \pm 4 2}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( - 4 ) + 4 2}{2 \cdot 1}, y_{2} = \frac{- ( - 4 ) - 4 2}{2 \cdot 1}

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

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

二次方程组的解是:

y = 2 (1 + 2), y = 2 (1 - 2)

作图

流行的例子

x^{2} + 23 x - 24 = 0

400=6Q^2-150Q+1000

400 = 6 Q^{2} - 150 Q + 1000

completesquare 3x^2+9x+1

co m pl e t es q u a re 3 x^{2} + 9 x + 1

x + x^{2} + 1 = 0

(3 x - 2) (4 x - 1) = 0