Show that if a+b is not equal to 0 then a(x-a)=2ab-b(x-b) has a solution x=a+b
Answers
Answered by
12
Answer :
Given that,
a (x - a) = 2ab - b (x - b)
⇒ ax - a² = 2ab - bx + b²
⇒ ax + bx = a² + 2ab + b²
⇒ (a + b) x = (a + b)²
⇒ (a + b) x = (a + b) (a + b)
⇒ x = a + b,
where (a + b) is not equal to 0
Thus, x = a + b is a solution. [Proved]
#MarkAsBrainliest
Given that,
a (x - a) = 2ab - b (x - b)
⇒ ax - a² = 2ab - bx + b²
⇒ ax + bx = a² + 2ab + b²
⇒ (a + b) x = (a + b)²
⇒ (a + b) x = (a + b) (a + b)
⇒ x = a + b,
where (a + b) is not equal to 0
Thus, x = a + b is a solution. [Proved]
#MarkAsBrainliest
12683:
how to mark brainliest
Similar questions