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 $ax^2+bx+c,~a\neq 0,$ 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

$D=b^2-4ac=(-4)^2-4\times5\times3=16-60=-44$

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