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受欢迎的代数 >

(2x-3)^2-(x+5)^2=23

解答

(2 x - 3)^{2} - (x + 5)^{2} = 23

解答

x = \frac{11 + 238}{3}, x = \frac{11 - 238}{3}

+1

十进制

x = 8.80908 \dots, x = - 1.47574 \dots

求解步骤

(2 x - 3)^{2} - (x + 5)^{2} = 23

展开

(2 x - 3)^{2} - (x + 5)^{2} : 3 x^{2} - 22 x - 16

3 x^{2} - 22 x - 16 = 23

将

23

para o lado esquerdo

3 x^{2} - 22 x - 39 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 3 ( - 39 )}{2 \cdot 3}

(- 22)^{2} - 4 \cdot 3 (- 39) = 2238

x_{1, 2} = \frac{- ( - 22 ) \pm 2 238}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 22 ) + 2 238}{2 \cdot 3}, x_{2} = \frac{- ( - 22 ) - 2 238}{2 \cdot 3}

x = \frac{- ( - 22 ) + 2 238}{2 \cdot 3} : \frac{11 + 238}{3}

x = \frac{- ( - 22 ) - 2 238}{2 \cdot 3} : \frac{11 - 238}{3}

二次方程组的解是:

x = \frac{11 + 238}{3}, x = \frac{11 - 238}{3}

作图

流行的例子

solvefor x,0=x^2-2x-3

so l v e f or x, 0 = x^{2} - 2 x - 3

(2a)^2+a^2+(a-1)^2=(a+1)^2+(a-2)^2

(2 a)^{2} + a^{2} + (a - 1)^{2} = (a + 1)^{2} + (a - 2)^{2}

7 x^{2} + 30 x - 25 = 0

- 2 x^{2} - 5 x + 4 = 0

4 x^{2} - 3 x + 4 = 0