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15.Aflati nr real m,stiind ca ecuatia 6x²+(m-1) ori X-m=0 are solutia x=1/2.
16.Determinati ecuatia de forma x²+bx+c=0,stinnd ca multimea solutiilor ecuatiei este S=(-3,-2).
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Răspuns:
Explicație pas cu pas:
15.
6*1/4 + (m-1)*1/2 - m = 0
3/2 + m/2 - 1/2 - m = 0
2/2 - m/2 = 0
m/2 = 1
m = 2
____________
16.
9 -3b + c = 0
4 - 2b + c = 0
3b - c = 9
2b - c = 4
c = 3b - 9
2b - (3b - 9) = 4
2b - 3b + 9 = 4
-b + 9 = 4
b = 9 - 4 = 5
c = 3*5 - 9 = 15 - 9 = 6
x^2 + 5x + 6 = 0