Question

plz answer me the given question ​

Answer 1

Answer:

a= -3/2, b= -7/2

Step-by-step explanation:

(3-√5)/(3+√5)=a√5-b, a=? b=?

Let's rationalize left side, Multiplying both numerator and denominator by (3-√5):

• (3-√5)(3-√5)/(3-√5)(3+√5)=
• (3-√5)²/(3²-√5²)=
• (9+5-6√5)/4=
• (14-6√5)/4=
• 7/2-3/2√5

Now comparing left and right sides of initial equation:

• -3/2√5+7/2=a√5-b
• a=-3/2, b=-7/2

Answer: a=-3/2, b=-7/2