Answer:
The roots of the equation are x = and x =
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x =
in the above given equation
a = 5
b = -3
c = 8
therefore,
x =
or
x =
or
x = and x =
or
x = and x =
here i = √(-1)
Hence,
The roots of the equation are x = and x =
and there are no real roots of the equation given above