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if a,b are the zeros of the quadratic equation
3x^2+5x+c=0
then, given a^2+b^2= -2/3
Now, a+b= -b/a= -5/3. ==>(1)
ab=c/3. ==>(2)
Now,on squaring (1),
a^2+b^2+2ab=25/9
-2/3+2(c/3)=25/9. (given)
2/3(c-1)=25/9
c-1=(25/9)*(3/2)
c-1=25/6
c=1+25/6
c=31/6
Hope it helps you!!
#BeBrainly!!!!
3x^2+5x+c=0
then, given a^2+b^2= -2/3
Now, a+b= -b/a= -5/3. ==>(1)
ab=c/3. ==>(2)
Now,on squaring (1),
a^2+b^2+2ab=25/9
-2/3+2(c/3)=25/9. (given)
2/3(c-1)=25/9
c-1=(25/9)*(3/2)
c-1=25/6
c=1+25/6
c=31/6
Hope it helps you!!
#BeBrainly!!!!
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