What are the foci of the hyperbola with the equation 25x^2-4y^2=400 show work

25x²-4y²=400

(x-h)²/a²-(y-k)²/b²=1

(5x)²-(2y)²=400

(x)²/16 - (y)²/100 = 1

a²+b²=c²

16+100=c²

c²=116

c=-+√116

foci are (-√116,0) and (√116,0)

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)