Question

a) 6x2 - 10 = 4x
b) (x + 3) (x + 2) = 0
c) 6x2 - 5x = 9
d) x
0
2)(x + 3) =
ayuda
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Answer 1

Respuesta:

a) 6x2 - 10 = 4x

6x2−4x−10=0

(6)⋅x2+(−4)⋅x+(−10)=0

x=−(−4)±(−4)2−4⋅(6)⋅(−10)−−−−−−−−−−−−−−−−−−−√2⋅(6)

x=4±16−(−240)−−−−−−−−−−−√12

x=4±256−−−√12

x=4±(16)12

x1=2012=(4)⋅(5)(4)⋅(3)=53

x2=−1212=(12)⋅(−1)(12)=−1

b) (x + 3) (x + 2) = 0

x2+5x+6=0  

(1)⋅x2+(5)⋅x+(6)=0

x=−(5)±(5)2−4⋅(6)−−−−−−−−−−√2

x=−5±25−(24)−−−−−−−−√2

x=−5±1–√2

x=−5±(1)2

x1=−42=(2)⋅(−2)(2)=−2

x2=−62=(2)⋅(−3)(2)=−3

d) x02)(x + 3) =2x+6