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Popular >

9x^2+7y^2=42

Solution

9 x^{2} + 7 y^{2} = 42

Solution

(h, k) = (0, 0), a = \frac{14}{3}, b = 6

Solution steps

9 x^{2} + 7 y^{2} = 42

Rewrite

9 x^{2} + 7 y^{2} = 42

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{14}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{14}{3}, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = \frac{14}{3}

Popular Examples

((x-2.1)^2)/(2.25)+((y+1.6)^2)/(6.16)=1

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

x^2-2x+3y^2-2y-5=0

x^{2} - 2 x + 3 y^{2} - 2 y - 5 = 0

((x-5)^2)/(8^2)+((y+2)^2)/(10^2)=1

\frac{( x - 5 ) ^{2}}{8 ^{2}} + \frac{( y + 2 ) ^{2}}{1 0 ^{2}} = 1

2 y - x^{2} - y^{2} \geq 0

25x^2+4y^2-8x+200y+304=0

25 x^{2} + 4 y^{2} - 8 x + 200 y + 304 = 0

Frequently Asked Questions (FAQ)

What is 9x^2+7y^2=42 ?
The solution to 9x^2+7y^2=42 is Ellipse with (h,k)=(0,0),a=sqrt(14/3),b=sqrt(6)