Use the quadratic formula to solve the equation 4x²-x+3=0

and

Step-by-step explanation:

Given quadratic equation is .

Compare with , we get:

a=4, b=-1, c=3

Now plug these values into quadratic formula :

Hence final answer is

and

Solution of given quadratic equation,

x = [1 + 6.86i]/8 or x = [1 - 6.86i]/8

Step-by-step 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

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