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受欢迎的代数 >

(3x+4)^2=16(3x+4)

解答

(3 x + 4)^{2} = 16 (3 x + 4)

解答

x = 4, x = - \frac{4}{3}

+1

十进制

x = 4, x = - 1.33333 \dots

求解步骤

(3 x + 4)^{2} = 16 (3 x + 4)

展开

(3 x + 4)^{2} : 9 x^{2} + 24 x + 16

展开

16 (3 x + 4) : 48 x + 64

9 x^{2} + 24 x + 16 = 48 x + 64

将

64

para o lado esquerdo

9 x^{2} + 24 x - 48 = 48 x

将

48 x

para o lado esquerdo

9 x^{2} - 24 x - 48 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 9 ( - 48 )}{2 \cdot 9}

(- 24)^{2} - 4 \cdot 9 (- 48) = 48

x_{1, 2} = \frac{- ( - 24 ) \pm 48}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 48}{2 \cdot 9}, x_{2} = \frac{- ( - 24 ) - 48}{2 \cdot 9}

x = \frac{- ( - 24 ) + 48}{2 \cdot 9} : 4

x = \frac{- ( - 24 ) - 48}{2 \cdot 9} : - \frac{4}{3}

二次方程组的解是:

x = 4, x = - \frac{4}{3}

作图

流行的例子

x^{2} = 15 x - 36

solvefor x,f(x+2)=3x^2+2

so l v e f or x, f (x + 2) = 3 x^{2} + 2

solvefor y,x-y^2=4

so l v e f or y, x - y^{2} = 4

x^{2} - 4 x + 130 = 14 x

p^{2} - 196 = 0