Question

Use the discriminant and select whether the roots of 5x 2 - 4x + 3 = 0 are real or non-real.

Answer 1

get x=2/5 ,sothe answer are real 0nly one root

Answer 2

Answer: The roots of the given equation are non-real.

Step-by-step explanation: We are given to use the discriminant and select whether the roots of the following quadratic equation are real or non-real :

`5x^2-4x+3=0~~~~~~~~~~~~~~~~~~~~~~~`(i)`

We know that

for the quadratic equation
`ax^2+bx+c,~a\\eq 0,` the discriminat is given by

`D=b^2-4ac.`

And, the roots will be

(i) real, if D is greater than or equal to zero,

(ii) non-real, if D < 0.

For the given equation (i), we have

a = 5, b = -4 and c = 3.

So, the discriminant is given by

`D=b^2-4ac=(-4)^2-4*5*3=16-60=-44<0.`

Therefore, the roots of the given equation are non-real.