Question 974197
identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph
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{{{25x^2+64y^2=1600}}}
divide by 1600
{{{x^2/64+y^2/25=1}}}
This is an equation of an ellipse with horizontal major axis with center at the origin (0,0)
Its standard form of equation: {{{x^2/a^2+y^2/b^2=1}}}
For given problem:
a^2=64
a=8
x-intercepts: (-8,0) and (8,0)
..
b^2=25
b=5
y-intercepts: (0,-5) and (0,5)
see graph below:
y=(25-25x^2/64)^.5
{{{ graph( 300, 300, -10,10, -10, 10,(25-25x^2/64)^.5,-(25-25x^2/64)^.5) }}}