Question

Usando a formula de Bhaskara e uma calculadora, descubra as raizes das equações:
a) x2-64x+663:0
b) 3x2+147x-2646:0

Answer 1

a) x² - 64x + 663 = 0

Δ = b²−4ac
Δ = (−64)²−4⋅1⋅663
Δ = 4096−2652
Δ = 1444

x = -b ± √Δ /2.a
x = -(-64) ± √1444 / 2.1
x = 64 ± 38 / 2
x' = 64 - 38 / 2
x' = 26 / 2
x' = 13

x'' = 64 + 6 / 2
x'' = 102 / 2
x'' = 51

S = {13, 51}
=====
b) 3x² + 147 - 2646 = 0


Δ = b² - 4ac 
Δ = 147² - 4.3.(-2646) 
Δ = 21609 - 31752 
Δ = 53361

x = -b ± √Δ /2.a
x = -147 ± √53361 /2.3
x = -147 ± 231 /6
x' = -147 - 231 /6
x' = 84 / 6
x' = 14

x'' = -147 + 231 /6
x'' = -378 / 6
x'' = -63

S = {14. -63}