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受欢迎的代数 >

4x^2+8x=5x^2+x

解答

4 x^{2} + 8 x = 5 x^{2} + x

解答

x = 0, x = 7

求解步骤

4 x^{2} + 8 x = 5 x^{2} + x

将

x

para o lado esquerdo

4 x^{2} + 7 x = 5 x^{2}

将

5 x^{2}

para o lado esquerdo

- x^{2} + 7 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

7^{2} - 4 (- 1) \cdot 0 = 7

x_{1, 2} = \frac{- 7 \pm 7}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 7 + 7}{2 ( - 1 )}, x_{2} = \frac{- 7 - 7}{2 ( - 1 )}

x = \frac{- 7 + 7}{2 ( - 1 )} : 0

x = \frac{- 7 - 7}{2 ( - 1 )} : 7

二次方程组的解是:

x = 0, x = 7

作图

流行的例子

3 m^{2} + 8 m - 3 = 0

4 q^{2} - 17 q + 8 = - 2 q

7 x^{2} = x

4 x^{2} - (2 - k)^{2} = 0

solvefor v,F=(mv^2)/R

so l v e f or v, F = \frac{m v ^{2}}{R}