Solution. ∵ Roots of the given equation are reciprocal of each other. For a Quadratic Equation ax² + bx + c = 0. From (1) ⟹ a = k = 3.

For what value of k the roots of equation 3x2 10x K 0 has real roots?

Answer: The value of k is 3.

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.

For what value of k will the polynomial 5z2 13z K has roots reciprocal to each other?

∴The value of the K is 5.

For what values of k does the quadratic equation 4x 2 12x k 0 have no real roots?

To have no real roots means discriminant should be less than zero. Therefore, for k

Find value of k for which the roots of the equation 3x^2 - 10x + k = 0 are reciprocals of each other

For what value of k are the roots of the quadratic equation x2 4x k 0?

Solution. ∴ k has all real values k ≤ 4.

For what value of k does the quadratic equation x2 4kx 4k 0?

Values of k are 0 or 1 for which the quadratic Equation x²-4kx+4k = 0 have equal positive integer solutions. Hope it helps you.

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.

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.

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

∴k=±36 =±6.

For what values of a the quadratic equation 9x2 3ax 1 0 has equal roots?

Expert-verified answer

A=9,B=−3a,C=1.

For what value of k are the roots of the quadratic equation reciprocal of each other?

Solution. ∵ Roots of the given equation are reciprocal of each other. For a Quadratic Equation ax² + bx + c = 0. From (1) ⟹ a = k = 3.

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

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

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 must be the value of K so that roots of x² KX 5k 0 are equal?

k=0 or k=5.

For what value of k will equation x2 − KX 4 0 have sum of roots equal to product of roots?

Therefore, k=±4.

For what value of k will equation x² KX 4 0 have sum of roots equal to product of roots?

Therefore, the value of k =± 4 .

For what value of k are the roots of the quadratic equation 3x 2 2kx 27 0?

∴ k=±9.

What is the value of k for which the zeroes of quadratic polynomial KX 2 3x 5 are reciprocal of each other?

To find, The value of k. Therefore the value of k is 5.

How do you find the value of k in a quadratic polynomial?

Given, the quadratic polynomial is kx² + x + k. We have to find the value of k for which the quadratic polynomial has equal zeros as 1/2. Assuming the zeros of the polynomial are equal, the value of the discriminant will be equal to zero. Therefore, the quadratic polynomial has equal zeros for k = ±1/2.

For what value of k is one zero of the quadratic polynomial 9x² 18x K double the other?

Hence the value of K is 8.

For what value of k the quadratic equation 9x 2 − 24x K 0 has equal roots also find the equal roots?

The value of k for which the roots are real and equal of the following equation 9x^2 - 24x + k = 0 is k = 16.

What will be the nature of roots of quadratic equation 2x2 4x 3 0?

Hence. Nature of roots of equation, 2x² - 4x + 3 = 0 be imaginary .