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

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6 votes
get x=2/5 ,sothe answer are real 0nly one root
User Alxwrd
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8.4k points
5 votes

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.

User Vladimir Tsvetkov
by
7.4k points

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