Odpowiedź:
f(x) = 1/(√7 - 3)x² + √7x + 1/(√7 + 3)
a = 1/(√7 - 3) , b = √7 , c = 1/(√7 + 3)
Δ = b² - 4ac = (√7)² - 4 * 1/(√7 - 3) * 1/(√7 + 3) = 7 - 4 * 1/(7 - 9) =
= 7 - 4 * (- 1/2) = 7 + 2 = 9
W - współrzędne wierzchołka paraboli = (p , q)
p = - b/2a = - √7 : 2/(√7 - 3) = - √7 * (√7 - 3)/2 = - √7(√7 - 3)/2
q = - Δ/4a =- 9 : 4(1/√7 - 3) = - 9 : 4/(√7 -3) = - 9 * (√7 - 3)/4 = - 9(√7 -3)/4