The formula for finding the roots of the quadratic equation \(ax^2 + bx + c = 0\) is:
This formula is known as the quadratic formula.
Find the roots of \(2x^2 + 3x - 77 = 0\) by using quadratic formula.
The given equation is \(2x^2 + 3x - 77 = 0\).
Here, \(a = 2\), \(b = 3\) and \(c = -77\).
Substitute the given values in the formula.
\(x =\) or \(x = -7\)
Therefore, the roots of the given equation are \(-7\) and .