jakeena22
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find the solutions of the quadratic equation –9x2 + 49 = 0.

Sagot :

Answer:

x = 7/3

Step-by-step explanation:

Given equation:

  • –9x² + 49 = 0

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

  • ⇒ –9x² + 49 - 49 = 0 - 49
  • ⇒ –9x² = -49

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

  • ⇒ –9x² = -49
  • ⇒ -9x²/-1 = -49/-1
  • ⇒ 9x² = 49

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

  • ⇒ 9x² = 49
  • ⇒ (3x)² = (7)²

Take square root both sides of the equation:

  • ⇒ √(3x)² = √(7)²
  • ⇒ 3x = 7

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

  • ⇒ 3x/3 = 7/3
  • ⇒ x = 7/3

Therefore, the value of "x" must be 7/3.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. 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 with our latest expert advice.