Răspuns:
Explicație pas cu pas:
a.
x²=1-√2
1-√2<0⇒x²<0⇒x nu are solutii reale
b. x²+10x+25=-1
(x+5)²=-1
(x+5)²<0⇒ x nu are solutii reale
c. x²+1=0
x²=-1
x²<0⇒ x nu are solutii reale
d. 3(x-2)²+27=0
3(x-2)²=-27
(x-2)²=-9
(x-2)²<0⇒ x nu are solutii reale
e. (x-7)²=5-√26
5-√26<0⇒(x-7)²<0⇒ x nu are solutii reale
f. 144x²=-25
(12x)²=-25
(12x)²<0⇒ x nu are solutii reale
g. 5x²+(a√5-2)²=0
5x²=-(a√5-2)²<0⇒5x²<0⇒ x nu are solutii reale
h. x²=7-5√2
7<5√2⇒7-5√2<0⇒x²<0⇒ x nu are solutii reale
i. (x+1)²=-39<0⇒(x+1)²<0⇒ x nu are solutii reale