Question

Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0

(a) One real root (a double root),

(b) Two distinct real roots,

(c) Three real roots,

(d) None (two imaginary roots)
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Answer 1

Answer:

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Discriminant = bx2 – 4ac

Compare the above equation 3x2 – 5x + 1 =0 with ax2 + bx + c = 0

We get, a = 3, b = -5, c = 1

Put the value of a, b and c;

Discriminant = bx2 – 4ac

Discriminant = (-5)2 - 4 × 3 × 1

= 25 – 12

= 13 [13 > 0]

Therefore, discriminant is positive.

So the given equation has two distinct real roots.

Answer - B

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Answer 2

Step-by-step explanation:

the discriminant of the given equation is

${b}^{2} - 4ac$

(-5)^2-4(3)(1)

25-12

13

therefore the roots are distinct and the equation has two distinct real roots show option b) is correct