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Popular >

p^2+p=q^2

Solution

p^{2} + p = q^{2}

Solution

(h, k) = (- \frac{1}{2}, 0), a = \frac{1}{2}, b = \frac{1}{2}

Solution steps

p^{2} + p = q^{2}

Rewrite

p^{2} + p = q^{2}

in the form of a standard hyperbola equation

\frac{( p - ( - \frac{1}{2} ) ) ^{2}}{( \frac{1}{2} ) ^{2}} - \frac{( q - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{1}{2}, 0), a = \frac{1}{2}, b = \frac{1}{2}

Popular Examples

9 x^{2} - 4 y^{2} - 36 = 0

9x^2-16y^2-108x+128y+212=0

9 x^{2} - 16 y^{2} - 108 x + 128 y + 212 = 0

x^{2} - 4 y^{2} = 36

-25x^2+9y^2=225

- 25 x^{2} + 9 y^{2} = 225

9 y^{2} - 25 x^{2} = 225

Frequently Asked Questions (FAQ)

What is p^2+p=q^2 ?
The solution to p^2+p=q^2 is Hyperbola with (h,k)=(-1/2 ,0),a= 1/2 ,b= 1/2