Question

Rezolvati ecuatiile:
a). 4$x^{2}$ - 4x+1= (2x-1)(x+1)
b). $\frac{1}{ x^{2}+6x+9}$ + $\frac{1}{x+3}$ = $\frac{4}{9}$
Va roooog ajutati-ma repede!!!!!!!! Dau coroooana!!!!!!!!!!!!!!!

Answer 1

a)4x²-4x+1=(2x-1)(x+1)⇒4x²-4x+1=2x²+2x-x-1⇒.4x²-4x+1=2x²+x-1⇒
4x²-2x²-4x-x+2=0⇒
2x²-5x+2=0.
a=2
b=-5
c=2
Δ=b²-4ac⇒25-16⇒Δ=9⇒√Δ=√9⇒Δ=3
x1x2=-b+-√Δ/2a⇒5+3/4⇒8/4⇒x1=2
x2=5-3/4⇒2/4⇒x2=1/2
sucees