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受欢迎的代数 >

(x-3)^2=16-1-x^2+2x

解答

(x - 3)^{2} = 16 - 1 - x^{2} + 2 x

解答

x = 2 + 7, x = 2 - 7

+1

十进制

x = 4.64575 \dots, x = - 0.64575 \dots

求解步骤

(x - 3)^{2} = 16 - 1 - x^{2} + 2 x

展开

(x - 3)^{2} : x^{2} - 6 x + 9

x^{2} - 6 x + 9 = - x^{2} + 2 x + 15

将

15

para o lado esquerdo

x^{2} - 6 x - 6 = - x^{2} + 2 x

将

2 x

para o lado esquerdo

x^{2} - 8 x - 6 = - x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} - 8 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 ( - 6 )}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 (- 6) = 47

x_{1, 2} = \frac{- ( - 8 ) \pm 4 7}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 4 7}{2 \cdot 2}, x_{2} = \frac{- ( - 8 ) - 4 7}{2 \cdot 2}

x = \frac{- ( - 8 ) + 4 7}{2 \cdot 2} : 2 + 7

x = \frac{- ( - 8 ) - 4 7}{2 \cdot 2} : 2 - 7

二次方程组的解是:

x = 2 + 7, x = 2 - 7

作图

流行的例子

solvefor x,x^2y^1+xy=1

so l v e f or x, x^{2} y^{1} + x y = 1

solvefor x,x^2+y^2+2^2-2x+4y+4=0

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

3 m^{2} - 8 m + 4 = 0

(-1+1)^2+(((y-1)^2)/4)=1

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

x^2-6834.5505x-468.603^2=0

x^{2} - 6834.5505 x - 468.60 3^{2} = 0