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受欢迎的代数 >

x+10^2-x^2=50

解答

x + 1 0^{2} - x^{2} = 50

解答

x = - \frac{- 1 + 201}{2}, x = \frac{1 + 201}{2}

+1

十进制

x = - 6.58872 \dots, x = 7.58872 \dots

求解步骤

x + 1 0^{2} - x^{2} = 50

展开

x + 1 0^{2} - x^{2} : x + 100 - x^{2}

x + 100 - x^{2} = 50

将

50

para o lado esquerdo

- x^{2} + x + 50 = 0

使用求根公式求解

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

1^{2} - 4 (- 1) \cdot 50 = 201

x_{1, 2} = \frac{- 1 \pm 201}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 1 + 201}{2 ( - 1 )}, x_{2} = \frac{- 1 - 201}{2 ( - 1 )}

x = \frac{- 1 + 201}{2 ( - 1 )} : - \frac{- 1 + 201}{2}

x = \frac{- 1 - 201}{2 ( - 1 )} : \frac{1 + 201}{2}

二次方程组的解是:

x = - \frac{- 1 + 201}{2}, x = \frac{1 + 201}{2}

作图

流行的例子

7x^2+3x>= 5x^2+2

7 x^{2} + 3 x \geq 5 x^{2} + 2

化简 5\sqrt[3]{729}-24

s im pl i f y 53729 - 24

x = \frac{x ^{2}}{2}

x + x + x = - 63

w^{2} + w - 30 = 0