Question

cálculos pfvr, coloquem os cálculos gente!

Answer 1

Vértice:   V(xV, yV) = (-b/2a, -delta/4a)

1)

(x -5) ( x+3) = x² -2x - 15

a = 1

b = -2

c = -15

Δ: (-2)² -4(1)(-15) = 4 +60 = 64

xV = -(-2)/(2*1) = 2/2 = 1

yV = -64/(4*1)) = -64/4 = -16

V = (1, -16)

2)

(x- √2) (x-1) = x² -x √2 -x + √2 = x² - (√2 +1)x + √2

a = 1

b = -(√2 +1)

c = √2

Δ:  [-(√2 +1) ]² - 4(1)(√2) = 3 +2√2 -4√2 = 3 -2√2

xV =  -[- (√2 +1) ] /(2*1) = (√2 +1)  / 2

yV = - (3 -2√2) / (4*1) = (-3 +2√2)/4

V = ( (√2 +1)/2,  (-3 +2√2)/4  )

V = (1.21,  -0.04)