Question

(x - 5)² = 25 - 9x
como resolver ?

Answer 1

(x -5)² = 25 -9x
x² -2.x.(-5) +5² = 25 -9x
x² +10x +25 = 25 -9x
x² +10x +9x = 25 -25
x² +19x = 0
x² +19x +0
Δ= b²-4ac
Δ= 19² -4.1.0
Δ=361 

x= -b +/- √Δ / 2a
x= -19 +/- √361 / 2.1
x'= -19 + 19 / 2
x'= 0/2
x'= 0

x''= -19 -19 / 2
x''= -38 / 2
x''= -19

Bons estudos!

Answer 2

(x -5)² = 25 -9x
x² -2.x.(-5) +5² = 25 -9x
x² +10x +25 = 25 -9x
x² +10x +9x = 25 -25
x² +19x = 0
x² +19x +0
Δ= b²-4ac
Δ= 19² -4.1.0
Δ=361 

x= -b +/- √Δ / 2a
x= -19 +/- √361 / 2.1
x'= -19 + 19 / 2
x'= 0/2
x'= 0

x''= -19 -19 / 2
x''= -38 / 2
x''= -19

Bons estudos!