Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

5x^2-4v^2=-99

2x^2+2v^2=90

Please show your work, if you show your work I will mark Brainiest!!!

Sagot :

sqdancefan

9514 1404 393

Answer:

  (x, v) ∈ {(-3, -6), (-3, 6), (3, -6), (3, 6)}

Step-by-step explanation:

For a quick and easy answer, my "work" is to use a graphing calculator.

  (x, v) = (±3, ±6) . . . . in all 4 combinations

__

Add double the second equation to the first.

  (5x^2 -4v^2) +2(2x^2 +2v^2) = (-99) +2(90)

  9x^2 = 81

  x^2 = 9

Substituting this into the second equation gives ...

  2(9) +2v^2 = 90

  2v^2 = 72

  v^2 = 36

So, (x^2, v^2) = (9, 36). Taking square roots, we get ...

  (x, v) = (±3, ±6) . . . . in all combinations

View image sqdancefan
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.