Question

fórmula de bhaskara
a) x(2x-1)+6=4(x+1)
b)(x-1((x-2)=6
c)(2x-3)(x-8)=34
com a conta pfvr

Answer 1

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

Δ= 9

x= -(b) +-√Δ /2·(a)
x= -(-5) +-√9 /2·(2)
x= +5 +-3 /4

x'= +5 +3 /4
x= 8/4
X= 2

x''= +5 -3/ 4
x= 2/4
X= 1/2 ou 0,5

b)(x-1)(x-2)=6
    x² -2x -x +2 -6=0
    x² -3x -4=0

Δ=25

x= -(b) +-√Δ /2·(a)
x= -(-3) +- √25 / 2·(1)
x= 3 +-5 /2

x'= 3+5 /2
x= 8/2
x= 4

x''= 3-5/2
x= -2/2
X= -1

c)(2x-3)(x-8)=34
   2x² - 16x -3x + 24 -34=0
   2x² -19x -10= 0

Δ= 441

x= -(b) +-√Δ /2·(a)
x= -(-19) +- √441 /2·(2)
x= +19 +- 21 /4

x'= 19+21/4
x= 40/4
X= 10

x''= 19-21/4
x= -2/4
X= -1/2 ou -0,5

Espero ter ajudado...