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