Question

Porfavor ayudenme:
√x-3 + √2x+1 - 2√x =0

Answer 1

√(x-3) + √(2x+)1 - 2√x =0

√(x-3)+√(2x+1)=2√x

(√(x-3)+√(2x+1))²=(2√x)²

x-3+2(√(x-3))(√(2x+1))+2x+1=4x

3x-2+2√(x-3)(2x+1)=4x

2√((x-3)(2x+1))=x+2

(2√((x-3)(2x+1)))²=(x+2)²

8x²-20x-12=x²+4x+4

7x²-24x-16=0

factorizar

7x          4

x           -4

(7x+4)(x-4)=0

(7x+4) = 0   ∧   (x-4) = 0

x=-7/4    ∧   x=4