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受欢迎的代数 >

(X-15)^2+(X+4+7)^2=9

解答

(X - 15)^{2} + (X + 4 + 7)^{2} = 9

解答

X = 2 + i \frac{329}{2}, X = 2 - i \frac{329}{2}

求解步骤

(X - 15)^{2} + (X + 4 + 7)^{2} = 9

展开

(X - 15)^{2} + (X + 4 + 7)^{2} : 2 X^{2} - 8 X + 346

2 X^{2} - 8 X + 346 = 9

将

9

para o lado esquerdo

2 X^{2} - 8 X + 337 = 0

使用求根公式求解

X_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 \cdot 337}{2 \cdot 2}

化简

(- 8)^{2} - 4 \cdot 2 \cdot 337 : 2658 i

X_{1, 2} = \frac{- ( - 8 ) \pm 2 658 i}{2 \cdot 2}

将解分隔开

X_{1} = \frac{- ( - 8 ) + 2 658 i}{2 \cdot 2}, X_{2} = \frac{- ( - 8 ) - 2 658 i}{2 \cdot 2}

X = \frac{- ( - 8 ) + 2 658 i}{2 \cdot 2} : 2 + i \frac{329}{2}

X = \frac{- ( - 8 ) - 2 658 i}{2 \cdot 2} : 2 - i \frac{329}{2}

二次方程组的解是:

X = 2 + i \frac{329}{2}, X = 2 - i \frac{329}{2}

作图

流行的例子

C=200-7x+0.345x^2

C = 200 - 7 x + 0.345 x^{2}

x^{2} = 23 x

completesquare s^2+18s+100

co m pl e t es q u a re s^{2} + 18 s + 100

0 = - x^{2} - x + 3

f-1(-2)=f(f-1(-2))

f - 1 (- 2) = f (f - 1 (- 2))