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受欢迎的代数 >

solvefor u,1+d^2u^2=(1+(d^2)/2)^2

解答

求解

u, 1 + d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2}

解答

u = \frac{4 + d ^{2}}{2}, u = - \frac{4 + d ^{2}}{2}; d \neq = 0

求解步骤

1 + d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2}

将

1

到右边

d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2} - 1

两边除以

d^{2}; d \neq = 0

u^{2} = \frac{4 + d ^{2}}{4}; d \neq = 0

对于

x^{2} = f (a)

解为

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

u = \frac{4 + d ^{2}}{4}, u = - \frac{4 + d ^{2}}{4}; d \neq = 0

化简

\frac{4 + d ^{2}}{4} : \frac{4 + d ^{2}}{2}

化简

- \frac{4 + d ^{2}}{4} : - \frac{4 + d ^{2}}{2}

u = \frac{4 + d ^{2}}{2}, u = - \frac{4 + d ^{2}}{2}; d \neq = 0

作图

流行的例子

solvefor x,(6x+3y+2z)^2=49

so l v e f or x, (6 x + 3 y + 2 z)^{2} = 49

x^2+(98-m)^2=41

x^{2} + (98 - m)^{2} = 41

solvefor x,(x+y)^2=4

so l v e f or x, (x + y)^{2} = 4

4. 5^{2} = x^{2} + 3^{2}

y^{2} - 36 \cdot 2 = 1