Question

X²-x=12 ??
2x²+3x=0 ??
5x²-125=0 ??

Answer 1

Resposta: X²-X=12; RESULTADO: -3

2x²+3x=0 RESULTADO: -3/2

5x2−125=0  RESULTADO: -5

Explicação passo-a-passo:

x2−x−12=0

(1)⋅x2+(−1)⋅x+(−12)=0

x=−(−1)±(−1)2−4⋅(−12)−−−−−−−−−−−−−−−−√2

x=1±1−(−48)−−−−−−−−−√2

x=1±49−−√2

x=1±(7)2

x1=82=(2)⋅(4)(2)=4

x2=−62=(2)⋅(−3)(2)=−3

2x²+3x=0

(2)⋅x2+(3)⋅x=0

x⋅[(2)⋅x+(3)]=0

x1=0

(2)⋅x²+(3)=0

x2=−(3)/2

x2=−3/2

5x²−125=0

(5)⋅x²+(−125)=0

x=±−(5)⋅(−125)−−−−−−−−−−−−√5

x=±625−−−√5

x=±(25)5

x=±(5)⋅(5)(5)

x1=5

x2=−5