(viii) 4p2 + 7 = 12p
Sol. 4p2 + 7 = 12p
∴ 4p2 – 12p = –7
Dividing both the sides by 4 we get,
p2 – 3p = -7/4 .....(i)
Third term = ( ½ × coefficient of p)2
= ( ½ × - 3)2
= (-3/2)2
= 9/4
Adding 9/4 to both sides of (i) we get,
p2 – 3p + 9/4 = -7/4 + 9/4
∴ (p – 3/2)2 = 2/4
∴ p - 3/2 = ±√(2/4)
∴ p - 3/2 = ±√2/2
∴ p = 3/2 ± √2/2
∴ p = (3±√2) /2
∴ p = (3+√2) /2 OR (3 - √2) /2
