Question

8. Determinați soluțiile ecuațiilor:

Answer 1

Răspuns:

8.a)5(x^2-8)=0

X1,2=+si-√8

b)0,1x^2+0,03=0,04 /× 10

x^2=0,4-0,3=0,1

X1,2=√10/10

c)1/9x^2+3=76/25

x^2=76×9/25-3×9

x^2=9/25

X1,2=+-3/5

d)0,3x^2+0,19=23/50/×10

3x^2+1,9=23/5

3x^2=23/5-19/10

3x^2=(46-19)/10=27/10 /:3

x^2=9/10

X1,2=+-3/√10

e)1/4x^2+0,4=√0,25

x^2=4√0,25-0,4×4

x^2=4×5/10-1,6=20/10-1,6=2-1,6=0,4

X1,2=+-2/√10=+-√10/5