Fsc Part 1 Mathematics (Complete Solution)

Q16
Find roots of the following equations by using quadratic formula

4x2 + 7x - 1 = 0

Solution

Comparing the given equation with ax2 + bx + c = 0, we get
a = 4, b = 7, c = -1

By Quardratic formula, we have
x =
-b ±
b2 - 4ac
2a
Putting the values of a, b, and c in the formula
x =
-7 ±
(7)2 - 4(4)(-1)
2(4)
x =
-7 ±
49 + 16
8
x =
-7 ±
65
8
Either        
x =
-7 -
65
8
        OR        
x =
-7 +
65
8


Hence Solution set =
{
-7 -
65
8
,    
-7 +
65
8
}

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