Question

Resolva usando a formula de Bhaskara
a) (x+4).(x-1)=5x+2
b) (m-1)² +3m=m+26

Answer 1

a) 
x²-1x+4x-4=5x+2
x²-6x+4x-4-2=0
x²-2x-2=0

Bháskara
Delta=4-4*1*(-2)
Delta=4+8=12
x linha= $\frac{2 + \sqrt{12} }{2}$* = $\frac{4+12}{4}$ = 4
x 2linhas= $\frac{2 - \sqrt{12} }{2}$* = $\frac{4-12}{4}$ = -2
*No caso eu elevei tudo ao quadrado com intenção de tirar a raiz
b)(m-1)² +3m=m+26
m²+2m*(-1)-1²=m+26
m²-2m+1=m+26
m²-m-25=0
Bháskara
Delta=-1²-4*1*(-25)
Delta=1+100 =101
x linha=$\frac{1 + \sqrt{101} }{2} * = \frac{1+101}{4} = 25,5$
x 2linhas=$\frac{1 - \sqrt{101} }{2} * = \frac{1-101}{4} = -25$