Question

If the roots of the equation x²-5x+6=0 are α and β then the value of α²+β² will be​

Answer 1

Step-by-step explanation:

answer mate hope it helps you

Answer 2

Answer:

x2−5x+6=0…(i)  

If  α  and  β  are two solution of  ax2+bx+c=0  then  α+β=−ba  and  αβ=ca.  

So from equation (i) and using above we can write  α+β=−(−5)=5  and  αβ=6 .

Now  α+β=5  

Or,  (α+β)2=52  

Or,  (α−β)2+4αβ=−(−5)=25  

Or,  (α−β)2+4×6=25  

Or,  (α−β)2+24=25  

Or,  (α−β)2=25−24=1  

Or,  α−β=±  1(Answer)