Question

Rezolvati in R ecuatiile: a) x²=4, b) x²-3=0, c) (x-1)²=2, d) (x-√ 2)²-8=0, e) 2x²-3=4, f) x²+1=0

Answer 1

Răspuns:

Explicație pas cu pas:

a) x²=4  ⇒   x=±2

b) x²-3=0  ⇒x=±√3

c) (x-1)²=2    (x-1-√2)(x-1+√2)=0   ⇒  x1=1+√2    si x2=1-√2

d) (x-√ 2)²-8=0    ⇒(x-√2-2√2)(x-√2+2√2)=0  

x1=3√2    si x2=-√2

e) 2x²-3=4    ⇒2x²-7=0  ⇒(x√2-√7)(x√2+√7)=0

x1=√(7/2)      x2=-√(7/2)

f) x²+1=0      nu are solutii in R  x1,2=±i

Answer 2

a) x²=4 => x=2

milt succes