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受欢迎的代数 >

(x-4)^2=2x^2-15+22

解答

(x - 4)^{2} = 2 x^{2} - 15 + 22

解答

x = - 9, x = 1

求解步骤

(x - 4)^{2} = 2 x^{2} - 15 + 22

展开

(x - 4)^{2} : x^{2} - 8 x + 16

x^{2} - 8 x + 16 = 2 x^{2} + 7

将

7

para o lado esquerdo

x^{2} - 8 x + 9 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

- x^{2} - 8 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 1 ) \cdot 9}{2 ( - 1 )}

(- 8)^{2} - 4 (- 1) \cdot 9 = 10

x_{1, 2} = \frac{- ( - 8 ) \pm 10}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 10}{2 ( - 1 )}, x_{2} = \frac{- ( - 8 ) - 10}{2 ( - 1 )}

x = \frac{- ( - 8 ) + 10}{2 ( - 1 )} : - 9

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

二次方程组的解是:

x = - 9, x = 1

作图

流行的例子

- 5 ∣ - 3 x + 2 ∣ - 2 = - 2

化简 sqrt(867)

s im pl i f y 867

化简 5/2 (1/4)

s im pl i f y \frac{5}{2} (\frac{1}{4})

(5+m)/5-(m+4)/3 <=-m/(15)

\frac{5 + m}{5} - \frac{m + 4}{3} \leq - \frac{m}{15}

9 - 18 \div 3^{2}