Question -
Answer -
Given: 17x2 –8x + 1 = 0
We shall applydiscriminant rule,
Where, x = (-b ±√(b2 – 4ac))/2a
Here, a = 17, b = -8,c = 1
So,
x = (-(-8) ±√(-82 – 4(17)(1)))/ 2(17)
= (8 ± √(64-68))/34
= (8 ± √(-4))/34
= (8 ± √4(-1))/34
We have i2 =–1
By substituting –1 = i2 inthe above equation, we get
x = (8 ± √(2i)2)/34
= (8 ± 2i)/34
= 2(4±i)/34
= (4±i)/17
x = 4/17 ± i/17
∴ The roots of thegiven equation are 4/17 ± i/17