x^2-18x+76=0

解答

x^{2} - 18 x + 76 = 0

x = 9 + 5, x = 9 - 5

十进制

x = 11.23606 \dots, x = 6.76393 \dots

求解步骤

x^{2} - 18 x + 76 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 76}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 76 = 25

x_{1, 2} = \frac{- ( - 18 ) \pm 2 5}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 18 ) + 2 5}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 5}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 5}{2 \cdot 1} : 9 + 5

x = \frac{- ( - 18 ) - 2 5}{2 \cdot 1} : 9 - 5

二次方程组的解是:

x = 9 + 5, x = 9 - 5

s im pl i f y \frac{- 10 + 3 i}{2 i}

s im pl i f y \frac{7}{5} + \frac{8}{15} + \frac{11}{60}

f a c t or - 6 x^{2} - 25 x - 25

s im pl i f y (\frac{1}{4})^{- 2}

f a c t or m^{4} + 10 m^{2} + 25