QuestionJune 24, 2025

Find the value of the discriminant for the equation, 3x^2=6x-2 Then.determine the number and type of roots. Since the discriminant is less than 0 and is a perfect square , the two roots are imaginary. Since the discriminant is equal to 0 and is a perfect square . the 1 root is real and rational. Since the discriminant is greater than 0 and is a perfect square, the two roots are real and rational. Since the discriminant is greater than 0 and

Find the value of the discriminant for the equation, 3x^2=6x-2 Then.determine the number and type of roots. Since the discriminant is less than 0 and is a perfect square , the two roots are imaginary. Since the discriminant is equal to 0 and is a perfect square . the 1 root is real and rational. Since the discriminant is greater than 0 and is a perfect square, the two roots are real and rational. Since the discriminant is greater than 0 and
Find the value of the discriminant for the
equation, 3x^2=6x-2
Then.determine the number and type of
roots.
Since the discriminant is less than 0 and is
a perfect square , the two roots are
imaginary.
Since the discriminant is equal to 0 and is a
perfect square . the 1 root is real and
rational.
Since the discriminant is greater than 0 and
is a perfect square, the two roots are real
and rational.
Since the discriminant is greater than 0 and

Solution
4.2(298 votes)

Answer

The discriminant is 12; the roots are real and irrational. Explanation 1. Rewrite the equation in standard form 3x^2 - 6x + 2 = 0 2. Identify coefficients a = 3, b = -6, c = 2 3. Calculate the discriminant **Discriminant formula**: D = b^2 - 4ac D = (-6)^2 - 4 \cdot 3 \cdot 2 = 36 - 24 = 12 4. Determine the number and type of roots Since D > 0 and not a perfect square, the two roots are real and irrational.

Explanation

1. Rewrite the equation in standard form<br /> $3x^2 - 6x + 2 = 0$<br />2. Identify coefficients<br /> $a = 3$, $b = -6$, $c = 2$<br />3. Calculate the discriminant<br /> **Discriminant formula**: $D = b^2 - 4ac$<br /> $D = (-6)^2 - 4 \cdot 3 \cdot 2 = 36 - 24 = 12$<br />4. Determine the number and type of roots<br /> Since $D > 0$ and not a perfect square, the two roots are real and irrational.
Click to rate: