What is the nature of the roots of the quadratic equation 3x2 7x 6 0?

Given 3x2 – 7x − 6 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = –7, c = −6 We know that, D = b2 – 4ac D = (–7)2 – 4 × 3 × (−6) D = 49 + 72 D = 121 So, the roots of the equation is given by x = (− ? ± √?)/?? Putting values x = (−(−7) ± √121)/(2 × 3) x = (? ± ??)/? Solving Hence, the roots of the ...

What are the roots of the equation 3x 2 7x 6 0?

Hence, the roots of the equation 3x²-7x-6 are x = 3 and x = -2/3.

What is the nature of the roots of the quadratic equation 3x 2 4x 2 0?

Answer: The roots of the equation 3x² - 4x - 2 = 0 are real and unequal.

What is the value of k for which the quadratic equation 3x2 KX k 0 has equal roots?

When k = 0 or k = 12, 3x² - kx + k = 0 will have equal roots.

What is the value of k for which the quadratic equation 3x2 KX k 0 has equal roots a 6?

R D Sharma - Mathematics 9

For equal roots of the given quadratic equations, Discriminant will be equal to 0. Therefore, the values of k for which the quadratic equation 3x 2−2kx+12=0 will have equal roots are 6 and −6.

Find the Roots of the Quadratic equation 3x²-7x-6=0 Or Find the value of k for which the quadratic

What is the value of k for which the quadratic equation 3x2 KX 48/0 has equal root?

Solution: The required value of k is ±24. We know that the given equation can have roots that are real and equal when its discriminant equals 0.

What is the nature of the roots of the quadratic equation 5x2 2x 3 0?

So, the root are imaginary , i.e. it has two non real roots.

What is the nature of the roots of the quadratic equation 2x2 6x 3 0?

As b² – 4ac > 0, Hence, there are distinct real roots exist for this equation, 2x² – 6x + 3 = 0.

How do you describe the nature of the roots of 3x² 4x 5 0?

Imaginary roots. Also the discriminant is b² - 4ac = -44 < 0. Thus we have imaginary roots. Therefore, the best description of the roots of the equation 3x² - 4x + 5 = 0 is imaginary roots.

What will be the nature of roots of quadratic equation 2x 2 7x 4 0?

Hence, root of quadratic equation are real and unequal.

What is the nature of roots of the quadratic equation 2x2 √ 5x 1 0?

Hence, the roots of the quadratic equation 2x² – √5x + 1 = 0 are imaginary.

How do I find the roots of a quadratic equation?

For what value of k the roots of the equation 3x2 10x K 0 are reciprocal of each other?

Answer: The value of k is 3.

What is the nature of roots of quadratic equation √ 3x2 2 √ 3x+ √ 3 0?

1 Answer. Roots of the equation are real and equal.

What is the nature of roots of the quadratic equation 4x2 12x 9 0?

What is the nature of roots of the quadratic equation 4x² – 12x – 9 = 0? Since D > 0, therefore, roots of the given equation are real and unequal.

What is the discriminant of the equation 2x 2 6x 3 0?

iii) 2x² - 6x + 3 = 0. b² - 4ac is called the discriminant of the quadratic equation and we can decide whether the real roots exist or not based on the value of the discriminant. Hence the equation has no real roots. Hence the equation has two equal real roots.

What is the nature of the roots of the quadratic equation 5x2 3x?

Answer. Since D < 0. Hence, roots are imaginary and distinct.

What is the nature of the roots of the quadratic equation 4m2 8m 9 0?

✰ Solution :-

∴ Quadratic equation have non - real roots.

For what value OFK are the roots of the quadratic equation 3x2 2kx 27 0 Arereal and equal?

∴ k=±9.

For what value of k does the quadratic equation 3x2 KX 3?

∴k=±36 =±6.

For what value S of a quadratic equation 30ax 2 )- 6x 1 0 has no real roots?

Answer: For values of 'a' greater than 3/10, given quadratic equation will have no real roots.

What are the roots of the quadratic equation 2x² 6 *?

Hence, 2 and -3/2 are the roots of the given equation.