X+ 1/x =5 what is the value x²+1/x²?

X+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°

Step 1: 6x-10=1; step 2: 6x=11