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受欢迎的代数 >

solvefor y,s(y)=3yy+5

解答

求解

y, s (y) = 3 yy + 5

解答

y = \frac{s + s ^{2} - 60}{6}, y = \frac{s - s ^{2} - 60}{6}

求解步骤

s (y) = 3 yy + 5

展开

3 yy + 5 : 3 y^{2} + 5

ys = 3 y^{2} + 5

交换两边

3 y^{2} + 5 = ys

将

ys

para o lado esquerdo

3 y^{2} + 5 - ys = 0

改写成标准形式

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

3 y^{2} - sy + 5 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - s ) \pm ( - s ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

化简

(- s)^{2} - 4 \cdot 3 \cdot 5 : s^{2} - 60

y_{1, 2} = \frac{- ( - s ) \pm s ^{2} - 60}{2 \cdot 3}

将解分隔开

y_{1} = \frac{- ( - s ) + s ^{2} - 60}{2 \cdot 3}, y_{2} = \frac{- ( - s ) - s ^{2} - 60}{2 \cdot 3}

y = \frac{- ( - s ) + s ^{2} - 60}{2 \cdot 3} : \frac{s + s ^{2} - 60}{6}

y = \frac{- ( - s ) - s ^{2} - 60}{2 \cdot 3} : \frac{s - s ^{2} - 60}{6}

二次方程组的解是:

y = \frac{s + s ^{2} - 60}{6}, y = \frac{s - s ^{2} - 60}{6}

作图

流行的例子

2 y^{2} + 2 y - 4 = 0

20 x^{2} + 4 x = 0

(0-2)^2-(y-1)^2=9

(0 - 2)^{2} - (y - 1)^{2} = 9

0.25x^2-350x-100000=0

0.25 x^{2} - 350 x - 100000 = 0

1 - 3 x - 2 x^{2} = 0