Question

if both a and b are rational numbers, find the values of a and b in this question.​

Answer 1

Answer:

a=0, b=22

Step-by-step explanation:

Use of formula: (a+b)(a-b)=a²- b²

• (7+√5)/(7-√5) - (7-√5)/(7+√5)=a+7/11√5b
• (7+√5)(7+√5)/(7+√5)(7-√5) - (7-√5)(7-√5)/(7+√5)(7-√5)=a+7/11√5b
• (7+√5)²/(7-5) - (7-√5)²/(7-5) = a+7/11√5b
• (7+√5)²/2 - (7-√5)²/2 = a+7/11√5b
• 1/2( 7+√5+7-√5)(7+√5-7+√5) = a+7/11√5b
• 1/2*14*2√5 = a+7/11√5b
• 14√5 =  a+7/11√5b
• a=0, 7/11b=14 ⇒ b= 22

Answer: a=0, b=22