If 20x2 — 30x + 1 = 0, then what is the value of 25x2 + (1)/(16x2)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e ![]()
Explanation:
20x2 - 30x + 1= 0
Dividing by x20x-30+1/x=0
20x+1/x=30
5x+1/4x=15/225x2 + (1)/(16x2)
= 25x2 + (1)/(16x2) +2 × 5x × 1/4x - 2 × 5x × 1/4x
= 25x2 + (1)/(16x2) + (5/2) - (5/2)
= (5x + 1/4x)2 - (5/2)
= (15/2)2 - (5/2)
= (225/4) - (5/2)
= (215/4) = ![]()