Question

Evalute if a+b=7 and ab=10 find a=b

Answer 1

Answer:

Given,a+b=7

b=7-a ----------(1)

ab=10

a(7-a)=10

7a-a²-10=0

a²-7a+10=0

a²-5a-2a+10=0

a(a-5)-2(a-5)=0

(a-2)(a-5)=0

Either (a-2)=0 or (a-5)=0

a = 2 or 5

If a= 2

b = 7-2= 5

If a=5

b= 7-5 = 2