Question

pls answer this for me pls it's urgent pls


If a-b=2, a*b=11.25 what is a and b

Answer 1

Answer:

There are two possible answers

a = 6.5, b = 4.5

a = -0.5,  b = -2.5

Step-by-step explanation:

a - b = 2

a = b + 2

a * b = 11.25

(b+2) * b = 11.25

b² + 2b = 11.25

b²+2b-11.25 = 0

D = 2²+ ( 4 * 1 * 11.25)

   = 4 + 45 = 49

b = ( 2 - √D) / (2*1) = (2 - 7) / 2 = -2.5

b =  ( 2 + √D) / (2*1) = (2 + 7) / 2 = 4.5

then a = -2.5 + 2 = -0.5

        a = 4.5 + 2 = 6.5

So there are two possible answers,

1----> a = 6.5, b = 4.5

2----> a = -0.5,  b = -2.5