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受欢迎的代数 >

(x-3)(x-5)=35

解答

(x - 3) (x - 5) = 35

解答

x = 10, x = - 2

求解步骤

(x - 3) (x - 5) = 35

展开

(x - 3) (x - 5) : x^{2} - 8 x + 15

x^{2} - 8 x + 15 = 35

将

35

para o lado esquerdo

x^{2} - 8 x - 20 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot ( - 20 )}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot (- 20) = 12

x_{1, 2} = \frac{- ( - 8 ) \pm 12}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 12}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 12}{2 \cdot 1}

x = \frac{- ( - 8 ) + 12}{2 \cdot 1} : 10

x = \frac{- ( - 8 ) - 12}{2 \cdot 1} : - 2

二次方程组的解是:

x = 10, x = - 2

作图

流行的例子

因式分解 s^2+5s+4

f a c t or s^{2} + 5 s + 4

(5 x - 3) (x - 5) < 0

f = 3^{2}

- 10 + 3 x = 8

化简 1/(1+1/6)

s im pl i f y \frac{1}{1 + \frac{1}{6}}