The roots of the expression are √65 and -√65.
It is required to find the roots.
Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
The expression is
2x^2 - 9 = 121
Add 9 to both sides
2x^2 - 9 + 9 = 121 + 9
2x^2 = 130
Divide 2 on both sides we get,
2x^2/2 = 130/2
x^2 = 65
x = ±√65
x=√65 and x=-√65
Therefore, the roots of the expression are √65 and -√65.
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