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borishaifa [10]
2 years ago
14

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

Mathematics
2 answers:
malfutka [58]2 years ago
7 0
Get x=2/5 ,sothe answer are real 0nly one root
ohaa [14]2 years ago
5 0

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.

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