Fsc Part 1 Mathematics (Complete Solution)

Q18
Find roots of the following equations by using quadratic formula

16x2 + 8x + 1 = 0

Solution

Comparing the given equation with ax2 + bx + c = 0, we get
a = 16, b = 8, c = 1

By Quardratic formula, we have
x =
-b ±
b2 - 4ac
2a
Putting the values of a, b, and c in the formula
x =
-8 ±
(8)2 - 4(16)(1)
2(16)
x =
-8 ±
64 - 64
32
x =
-8 ±
0
32
x =
-8 ± 0
32
Either        
x =
-8 - 0
32
        OR        
x =
-8 + 0
32
x =
-8
32
x =
-8
32
x =
-1
4
x =
-1
4


Hence Solution set =
{
-
1
4
}

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