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受欢迎的代数 >

1x^2+(2x)^2=4.3

解答

1 x^{2} + (2 x)^{2} = 4.3

解答

x = \frac{43}{5 2}, x = - \frac{43}{5 2}

+1

十进制

x = 0.92736 \dots, x = - 0.92736 \dots

求解步骤

1 \cdot x^{2} + (2 x)^{2} = 4.3

在两边乘以

10

50 x^{2} = 43

将

43

para o lado esquerdo

50 x^{2} - 43 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 50 ( - 43 )}{2 \cdot 50}

0^{2} - 4 \cdot 50 (- 43) = 1086

x_{1, 2} = \frac{- 0 \pm 10 86}{2 \cdot 50}

将解分隔开

x_{1} = \frac{- 0 + 10 86}{2 \cdot 50}, x_{2} = \frac{- 0 - 10 86}{2 \cdot 50}

x = \frac{- 0 + 10 86}{2 \cdot 50} : \frac{43}{5 2}

x = \frac{- 0 - 10 86}{2 \cdot 50} : - \frac{43}{5 2}

二次方程组的解是:

x = \frac{43}{5 2}, x = - \frac{43}{5 2}

作图

流行的例子

x^{2} + 144 x = 0

solvefor x,x^2-2sqrt(y-1)=C

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

3x(x-3)=8x^2-11x

3 x (x - 3) = 8 x^{2} - 11 x

solvefor y,y^2=x^2-1

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

2 x^{2} - 13 x + 7 = 0