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受欢迎的代数 >

solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100)

解答

求解

x, 5 a x^{2} y - 5 x^{2} + 6 y^{3} = 100

解答

x = \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}, x = - \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}; a \neq = \frac{5}{y ^{2}}

求解步骤

5 a x^{2} y - 5 x^{2} + 6 y^{3} = 100

展开

5 a x^{2} y - 5 x^{2} + 6 y^{3} : 5 a x^{2} y - 5 x^{2} + 6 y^{3}

5 a x^{2} y - 5 x^{2} + 6 y^{3} = 10

将

6 y^{3}

到右边

5 a x^{2} y - 5 x^{2} = 10 - 6 y^{3}

分解

5 a x^{2} y - 5 x^{2} : x^{2} (5 y a - 5)

x^{2} (5 y a - 5) = 10 - 6 y^{3}

两边除以

5 y a - 5; a \neq = \frac{5}{y ^{2}}

x^{2} = \frac{( 10 - 6 y ^{3} ) ( 5 y a + 5 )}{5 a y ^{2} - 25}; a \neq = \frac{5}{y ^{2}}

化简

\frac{( 10 - 6 y ^{3} ) ( 5 y a + 5 )}{5 a y ^{2} - 25} : \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}

x^{2} = \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}; a \neq = \frac{5}{y ^{2}}

对于

x^{2} = f (a)

解为

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

x = \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}, x = - \frac{( 10 - 6 y ^{3} ) ( y a + 5 )}{5 ( a y ^{2} - 5 )}; a \neq = \frac{5}{y ^{2}}

作图

流行的例子

(3x+1)(3x-1)=5x+3

(3 x + 1) (3 x - 1) = 5 x + 3

2a^2-5a-2=-3a^2

2 a^{2} - 5 a - 2 = - 3 a^{2}

3 x^{2} = 6 x + 1

solvefor x,x^2+64=0

so l v e f or x, x^{2} + 64 = 0

completesquare-x^2+280x-17600

co m pl e t es q u a re - x^{2} + 280 x - 17600