What is 7x^2+25y^2=175 ?

The solution to 7x^2+25y^2=175 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(7)

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7x^2+25y^2=175

7 x^{2} + 25 y^{2} = 175

(h, k) = (0, 0), a = 5, b = 7

Solution steps

7 x^{2} + 25 y^{2} = 175

Rewrite

7 x^{2} + 25 y^{2} = 175

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5, b = 7

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1

x^{2} + 5 y^{2} = 9 (2.1)

81 x^{2} + 16 y^{2} = 1296

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{4} = 1

\frac{( x - 4 ) ^{2}}{24} + \frac{( y - 2 ) ^{2}}{49} = 1

What is 7x^2+25y^2=175 ?
The solution to 7x^2+25y^2=175 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(7)