The value of x from the given system of quadratic equations is 9.
Given the following data:
[tex]2x^2 + 8y = 121.5\\\\x^2 - 8y = 121.5[/tex]
To find the value of x, we would solve the system of quadratic equations by using the elimination method:
Adding the two system of quadratic equations together, we have:
[tex]2x^2 + x^2 + (8y - 8y) = 121.5 + 121.5\\\\3x^2 = 243\\\\x^2 = \frac{243}{3} \\\\x^2 = 81\\\\x = \sqrt{81}[/tex]
x = 9
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