What are the solutions of the quadratic equation 49x2 = 9?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the quadratic equation:
49x^2 = 9
Determine the solution.
Solution:
In order to determine the solution of the quadratic equation, we first divide both sides by 49 to cancel out 49x^2 leaving behind x^2.
49x^2/49 = 9/49
x^2 = 9/49
Take the square root of both sides by either enclosing with a square root sign or raising the values to ½. In our case we will raise the values by ½
(x^2)^½ = (9/49)^½
x = 3/7 or 0.43
Final answer:
x = 3/7 or 0.43