Question

escreva as equações abaixo na forma reduzida e resolva as na sequência a) x(x+3)= 5x+15 b) 3y+1/2=y2-1/3 c) (x+4)2=9x+22 d) (x-1)+3x=x+26 e) (x+4)*(x-1)=5x+20

Answer 1

A) ) x(x+3)= 5x+15
x^2 + 3x=5x+ 15
x^2+3x-5x-15=0
x^2-3x-15=0

B)3y+1/2=y2-1/3
y^2+3y=-1/3-1/2
y^2+3y=-2-3/6
y^2+3y+5/6=0

c) (x+4)2=9x+22
2x+8=9×+22
8-22=9x-2x
14=7x
x=14/7
x=2

d) (x-1)+3x=x+26
x-1 +3x = x +26
2x - 1 = x + 26
2x - x = 26 + 1
x = 27

e) (x+4)*(x-1)=5x+20
x^2-x +4x -4 = 5x +20
x^2 + 3x - 4 = 5x + 20
x^2 + 3x - 4 -5x -20 = 0
x^2 - 2 x -24 = 0