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受欢迎的代数 >

(2x-1)^2=(x+4)^2

解答

(2 x - 1)^{2} = (x + 4)^{2}

解答

x = 5, x = - 1

求解步骤

(2 x - 1)^{2} = (x + 4)^{2}

展开

(2 x - 1)^{2} : 4 x^{2} - 4 x + 1

展开

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

4 x^{2} - 4 x + 1 = x^{2} + 8 x + 16

将

16

para o lado esquerdo

4 x^{2} - 4 x - 15 = x^{2} + 8 x

将

8 x

para o lado esquerdo

4 x^{2} - 12 x - 15 = x^{2}

将

x^{2}

para o lado esquerdo

3 x^{2} - 12 x - 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 3 ( - 15 )}{2 \cdot 3}

(- 12)^{2} - 4 \cdot 3 (- 15) = 18

x_{1, 2} = \frac{- ( - 12 ) \pm 18}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 18}{2 \cdot 3}, x_{2} = \frac{- ( - 12 ) - 18}{2 \cdot 3}

x = \frac{- ( - 12 ) + 18}{2 \cdot 3} : 5

x = \frac{- ( - 12 ) - 18}{2 \cdot 3} : - 1

二次方程组的解是:

x = 5, x = - 1

作图

流行的例子

x^2-4.649160568x+3.125=0

x^{2} - 4.649160568 x + 3.125 = 0

v^{2} + 11 v + 30 = 0

solvefor x,f(x-2)=x^2-1

so l v e f or x, f (x - 2) = x^{2} - 1

solvefor x,f(x-2)=x^2-2

so l v e f or x, f (x - 2) = x^{2} - 2

X^{2} - 12 X + 36 = 0