The discriminant of the equation, 3x^2 - 2x + 1/3 = 0 is : 1. 0 2. 1 3. 2 4. 4

Comparing 3x2 - 2x + = 0 with ax2 + bx + c = 0 we get, a = 3, b = -2 and c = . We know that, ⇒ D = b2 - 4ac ⇒ D = (-2)2 - 4(3) ⇒ D = 4 - 4 ⇒ D = 0. Hence, option 1 is the correct option.

Mathematics

The discriminant of the equation, 3x² - 2x + $\dfrac{1}{3}$ = 0 is :
0
1
2
4

Quadratic Equations

3 Likes

Answer

Comparing 3x² - 2x + $\dfrac{1}{3}$ = 0 with ax² + bx + c = 0 we get,

a = 3, b = -2 and c = $\dfrac{1}{3}$ .

We know that,

⇒ D = b² - 4ac

⇒ D = (-2)² - 4(3) $\Big(\dfrac{1}{3}\Big)$

⇒ D = 4 - 4

⇒ D = 0.

Hence, option 1 is the correct option.

Answered By

2 Likes

Mathematics

The discriminant of the equation, 3x² - 2x + $\dfrac{1}{3}$ = 0 is :
0
1
2
4

Quadratic Equations

Answer

Related Questions

If 1 is a root of the quadratic equation, ky² + ky + 3 = 0, then the value of k is:
$-\dfrac{2}{3}$
$-\dfrac{1}{3}$
$-\dfrac{1}{2}$
$-\dfrac{3}{2}$

If the equation x² + 5kx + 16 = 0 has no real roots, then :
k > $\dfrac{8}{5}$
k < $-\dfrac{8}{5}$
$-\dfrac{8}{5} \lt k \lt \dfrac{8}{5}$
none of these

What is the nature of the roots of the equation, 2x² - 6x + 3 = 0?
rational and unequal
irrational and unequal
real and equal
imaginary and unequal

The nature of the roots of the equation, 3x² - $4\sqrt{3}x$ + 4 = 0 is:
real and equal
irrational and unequal
rational and unequal
imaginary and unequal

Mathematics

The discriminant of the equation, 3x2 - 2x + 13\dfrac{1}{3}31​ = 0 is :0124

Quadratic Equations

Answer

Related Questions

If 1 is a root of the quadratic equation, ky2 + ky + 3 = 0, then the value of k is:−23-\dfrac{2}{3}−32​−13-\dfrac{1}{3}−31​−12-\dfrac{1}{2}−21​−32-\dfrac{3}{2}−23​

If the equation x2 + 5kx + 16 = 0 has no real roots, then :k > 85\dfrac{8}{5}58​k < −85-\dfrac{8}{5}−58​−85<k<85-\dfrac{8}{5} \lt k \lt \dfrac{8}{5}−58​<k<58​none of these

What is the nature of the roots of the equation, 2x2 - 6x + 3 = 0?rational and unequalirrational and unequalreal and equalimaginary and unequal

The nature of the roots of the equation, 3x2 - 43x4\sqrt{3}x43​x + 4 = 0 is:real and equalirrational and unequalrational and unequalimaginary and unequal

The discriminant of the equation, 3x² - 2x + $\dfrac{1}{3}$ = 0 is :
0
1
2
4

If 1 is a root of the quadratic equation, ky² + ky + 3 = 0, then the value of k is:
$-\dfrac{2}{3}$
$-\dfrac{1}{3}$
$-\dfrac{1}{2}$
$-\dfrac{3}{2}$

If the equation x² + 5kx + 16 = 0 has no real roots, then :
k > $\dfrac{8}{5}$
k < $-\dfrac{8}{5}$
$-\dfrac{8}{5} \lt k \lt \dfrac{8}{5}$
none of these

What is the nature of the roots of the equation, 2x² - 6x + 3 = 0?
rational and unequal
irrational and unequal
real and equal
imaginary and unequal

The nature of the roots of the equation, 3x² - $4\sqrt{3}x$ + 4 = 0 is:
real and equal
irrational and unequal
rational and unequal
imaginary and unequal