Answer:
Solution of given quadratic equation,
x = [1 + 6.86i]/8 or x = [1 - 6.86i]/8
Explanation:
Points to remember
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given a quadratic equation, 4x²-x+3=0
To find the solution using quadratic formula
Here a = 4, b = -1 and c = 3
We have,
x = [-b ± √(b² - 4ac)]/2a
x = [--1 ± √((-1)² - 4*4*3)]/2*4
= [1 ± √(1 - 48)]/8
= [1 ± √(-47)]/8
= [1 ± 6.86i]/8
x = [1 + 6.86i]/8 or
x = [1 - 6.86i]/8