What are the solutions to the equation solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100) ?

The solutions to the equation solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100) are

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

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

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solve for

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

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}}

Solution steps

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

Expand

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

Move

6 y^{3}

to the right side

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

Factor

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

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

Divide both sides by

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}}

Simplify

\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}}

For

x^{2} = f (a)

the solutions are

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}}

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

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

m^{2} + 12 = 7 m

3 x^{2} = 6 x + 1

5 x^{2} - 7 x = 2 x - 4

What are the solutions to the equation solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100) ?
The solutions to the equation solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100) are
Find the zeros of solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100)
The zeros of solvefor x,sqrt(5a)x^2y-5x^2+6y^3=sqrt(100) are