What is the answer to ((28)/y)^2+y^2=65 ?

The answer to ((28)/y)^2+y^2=65 is y=7,y=-7,y=4,y=-4

Solve for y: ((28)/y)^2+y^2=65

The solution is y=7,y=-7,y=4,y=-4

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(\frac{28}{y})^{2} + y^{2} = 65

y = 7, y = - 7, y = 4, y = - 4

Solution steps

(\frac{28}{y})^{2} + y^{2} = 65

Simplify

(\frac{28}{y})^{2} : \frac{784}{y ^{2}}

\frac{784}{y ^{2}} + y^{2} = 65

Multiply both sides by

y^{2}

784 + y^{4} = 65 y^{2}

Solve

784 + y^{4} = 65 y^{2} : y = 7, y = - 7, y = 4, y = - 4

y = 7, y = - 7, y = 4, y = - 4

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 7, y = - 7, y = 4, y = - 4

\frac{3}{x} = \frac{7}{4 x} - 2

\frac{7}{4} = \frac{6}{y} - 2

\frac{1}{( x - 2 )} = 3

\frac{x ^{2} - 32400}{720 x ^{2}} = 0

b, \frac{a + b}{b} = a

What is the answer to ((28)/y)^2+y^2=65 ?
The answer to ((28)/y)^2+y^2=65 is y=7,y=-7,y=4,y=-4
Solve for y: ((28)/y)^2+y^2=65
The solution is y=7,y=-7,y=4,y=-4