## Use the discriminant to determine the number of real roots the equation has. 3×2 – 5x + 1 =0 (a) One real root (a double root),

Question

Use the discriminant to determine the number of real roots the equation has. 3×2 – 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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1 month 2021-10-26T12:41:03+00:00 2 Answers 0 views 0

Discriminant = bx2 – 4ac

Compare the above equation 3×2 – 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.

Discriminant = bx2 – 4ac

Compare the above equation 3×2 – 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.