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受欢迎的代数 >

solvefor y,-6y^2-21=s(y^2+w)

解答

求解

y, - 6 y^{2} - 21 = s (y^{2} + w)

解答

y = i \frac{21 + s w}{6 + s}, y = - i \frac{21 + s w}{6 + s}; s \neq = - 6

求解步骤

- 6 y^{2} - 21 = s (y^{2} + w)

将

21

到右边

- 6 y^{2} = s (y^{2} + w) + 21

将

s (y^{2} + w)

para o lado esquerdo

- 6 y^{2} - s (y^{2} + w) = 21

乘开

- s (y^{2} + w) : - s y^{2} - s w

- 6 y^{2} - s y^{2} - s w = 21

将

s w

到右边

- 6 y^{2} - s y^{2} = 21 + s w

分解

- 6 y^{2} - s y^{2} : - y^{2} (6 + s)

- y^{2} (6 + s) = 21 + s w

两边除以

- (6 + s); s \neq = - 6

y^{2} = - \frac{21 + s w}{6 + s}; s \neq = - 6

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

y = - \frac{21 + s w}{6 + s}, y = - - \frac{21 + s w}{6 + s}; s \neq = - 6

化简

- \frac{21 + s w}{6 + s} : i \frac{21 + s w}{6 + s}

化简

- - \frac{21 + s w}{6 + s} : - i \frac{21 + s w}{6 + s}

y = i \frac{21 + s w}{6 + s}, y = - i \frac{21 + s w}{6 + s}; s \neq = - 6

作图

流行的例子

completesquare x^2-6x+7

co m pl e t es q u a re x^{2} - 6 x + 7

(x)=2600+2x+0.001x^2

(x) = 2600 + 2 x + 0.001 x^{2}

x^{2} + a x - 2 a^{2} = 0

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x^{2} - 5 x + 29 = 7 x - 6