Fsc Part 1 Mathematics (Complete Solution)

Q15
Find roots of the following equations by using quadratic formula

5x2 - 13x + 6 = 0

Solution

Comparing the given equation with ax2 + bx + c = 0, we get
a = 5, b = -13, c = 6

By Quardratic formula, we have
x =
-b ±
b2 - 4ac
2a
Putting the values of a, b, and c in the formula
x =
-(-13) ±
(-13)2 - 4(5)(6)
2(5)
x =
13 ±
169 - 120
10
x =
13 ±
49
10
x =
13 ±
(7)2
10
x =
13 ± 7
10
Either        
x =
13 - 7
10
        OR        
x =
13 + 7
10
x =
6
10
x =
20
10
x =
3
5
x = 2


Hence Solution set = {
3
5
,    2}

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