Question

if root a + root b + root c = 0 then prove that a + b - c = 4ab

Answer 1

√a+ √b +√c= 0

√a +√b = -√c

squaring

a + b + 2√ab = c

a+ b - c= -2√ab

(a+b-c)^2 = 4 ab

please check question

may be in LHS its ( a+b -c)^2

Answer 2

Answer:

Step-by-step explanation:

a^(1/2) + b^(1/2) - c^(1/2) = 0

Or, a^(1/2)+b^(1/2) =c^(1/2) Squaring both sides a + b + 2 * a^(1/2) * b^(1/2) = c

Or, a + b - c = - 2 * a^(1/2) * b^(1/2). Squaring both sides (a + b - c) ^2 = 4 * a * b