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受欢迎的代数 >

solvefor x,ax^2+by^2+z^2=1

解答

求解

x, a \cdot x^{2} + b \cdot y^{2} + z^{2} = 1

解答

x = \frac{1 - b y ^{2} - z ^{2}}{a}, x = - \frac{1 - b y ^{2} - z ^{2}}{a}; a \neq = 0

求解步骤

a x^{2} + b y^{2} + z^{2} = 1

将

b \cdot y^{2}

到右边

a x^{2} + z^{2} = 1 - b y^{2}

将

z^{2}

到右边

a x^{2} = 1 - b y^{2} - z^{2}

两边除以

a; a \neq = 0

x^{2} = \frac{1 - b y ^{2} - z ^{2}}{a}; a \neq = 0

对于

x^{2} = f (a)

解为

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

x = \frac{1 - b y ^{2} - z ^{2}}{a}, x = - \frac{1 - b y ^{2} - z ^{2}}{a}; a \neq = 0

作图

流行的例子

(a-b)x^2+(b-c)x+(c-a)=0

(a - b) x^{2} + (b - c) x + (c - a) = 0

x^2-2(a^2+b^2)x+(a^2-b^2)=0

x^{2} - 2 (a^{2} + b^{2}) x + (a^{2} - b^{2}) = 0

solvefor x,p^3-(x^2+xy+y^2)*p+xy(x+y)=0

so l v e f or x, p^{3} - (x^{2} + x y + y^{2}) \cdot p + x y (x + y) = 0

5/2*x+2/3*x= 95/2*x^2

\frac{5}{2} \cdot x + \frac{2}{3} \cdot x = \frac{95}{2} \cdot x^{2}

solvefor x,4x^2-4xy+y^2-4x-8y-20=0

so l v e f or x, 4 x^{2} - 4 x y + y^{2} - 4 x - 8 y - 20 = 0