Question

Urgent!

19. Explicați de ce următoarele ecuatii nu au soluții: a) x²=1-√2 b) x2+10x+25=-1 c) x²+1=0 d) 3(x-2)²+27=0 e) (x-7)²=5-√26 f) 144x²=-25 g) 5X²+(a√5-2)²=0 h) x²=7-5√2 i) (x+1)²+39=0​

Answer 1

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