Question

If root p + root q - root a = 0 prove that p+q-a - 4pq=0

Answer 1

Answer:

Step-by-step explanation:

Note: Not sure if p+q-a - 4pq=0 is correct because as per the solution below p+q-a = - 2√pq. so it will become (p+q-a)² - 4pq = 0.

√p + √q - √a = 0

=> √p + √q = √a

Squaring on both sides.

=> (√p + √q)² = (√a)²

=> p + q + 2√pq = a

=> p + q - a = -2√pq

Squaring again on both sides.

=> (p + q - a)² = (-2√pq)²

=> (p + q - a)² - 4pq = 0