Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Does anyone know the answer?

Does Anyone Know The Answer class=

Sagot :

lilethnguyen

Answer:

a = √5

b ∈ (−∞,∞)

Step-by-step explanation:

(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5

⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ (7 + 3√5)(3 - √5) -  (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ 4√5/4 = a + b√5

⇔ √5 = a + b√5

⇔ b = (5 - a√5)/5

Replace b with (5 - a√5)/5

⇒ a +  (5 - a√5)/5 = √5

⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5

⇔ a × 5 + 5 - a√5 = 5√5

⇔ a × 5 - √5 × a = 5√5 - 5

⇔ a(5 - √5) = 5√5 - 5

⇔ a = √5

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.