Question

a+b = 30
b=(a+b)÷a
plz solve this

Answer 1

Answer:

b = 15+√195

b = 15 - √195

a= - 15 + √195

a= -15-√195

Step-by-step explanation:

given = a + b = 30

so, a = 30 - b

b = (a+b) ÷ a

b = 30 / (30 - b)

b(30-b) = 30

30b - b^2 = 30

- b^2 + 30b - 30 = 0

-( b^2 - 30b + 30) =0

b^2 - 30b + 30 = 0

using quadratic formula,

b = -(-30) ± √ (-30)^2 - 4x1x30 / 2x1

b = -(-30) ± 2√ 195 /2

b = 30 + 2√ 195 /2. b= 30 - √195 /2

b = 15+√195. b = 15 - √195

a = 30 - 15 + √ 195

a= - 15 + √195

a= 30 - 15 - √195

a= -15-√195