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受欢迎的代数 >

30v=9v^2+25

解答

30 v = 9 v^{2} + 25

解答

v = \frac{5}{3}

+1

十进制

v = 1.66666 \dots

求解步骤

30 v = 9 v^{2} + 25

交换两边

9 v^{2} + 25 = 30 v

将

30 v

para o lado esquerdo

9 v^{2} + 25 - 30 v = 0

改写成标准形式

a x^{2} + b x + c = 0

9 v^{2} - 30 v + 25 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 9 \cdot 25}{2 \cdot 9}

(- 30)^{2} - 4 \cdot 9 \cdot 25 = 0

v_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 9}

v = \frac{- ( - 30 )}{2 \cdot 9}

\frac{- ( - 30 )}{2 \cdot 9} = \frac{5}{3}

v = \frac{5}{3}

二次方程组的解是:

v = \frac{5}{3}

作图

流行的例子

x^2-2(m^2-4m)x+m^4=0

x^{2} - 2 (m^{2} - 4 m) x + m^{4} = 0

solvefor x,x^2+5xy=9x+3y

so l v e f or x, x^{2} + 5 x y = 9 x + 3 y

(2 x - 1) (x - 4) = 0

3 x^{2} - 5 x = - 4

(x - 1)^{2} + 14 = 15