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 the root of equation x2 4x k 0 are equal?

Solution. The given quadric equation is x² + 4x + k = 0, and roots are real and distinct. Then find the value of k. Therefore, the value of k < 4 .

What is the value of K if the roots of x² 4x K 0 are real and equal * 1 Point 0 4 2?

Answer: The value of k must be less than or equal to 4.

What is the value of k if one root of the quadratic equation x2 4x k 0 is 2 root 3?

Thus, the value of k is 2.

For what value of k x2 4x K will become a perfect square?

Hence the required answer is k = 4.

For what value of k the quadratic equation x2+4x+k=0 has real roots

Which of the following is the value of K if the roots of x² 4x K 0 are real and unequal?

Hence, k must be less than 4 for the root of the equation \[{{x}^{2}}+4x+k=0\] to be real. Hence, \[k\le 4\] is the answer.

For what value of K 4 K X² 2k 4 x+ 8k+ 1 is a perfect square?

Therefore, the value of k = 0, 3.

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

Solution. To have no real roots means discriminant should be less than zero. Therefore, for k<-9 the quadratic equation will have no real roots.

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 .

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

∴ k=±9.

For what values of k the roots of the equation 3x 2 10x K 0 are real?

Answer: The value of k is 3.

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

D =0 roots are real and equal.

What are the roots for the given quadratic equation 2x2 4x − 4 0?

Two solutions were found :

x =(2+√12)/2=1+√ 3 = 2.732.

For what value of p for equation 2x² 4x p 0 will have real roots?

Answer: For real values of roots of the equation, the value of p must be less than or equal to 2.

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.

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

Expert-verified answer

Hence, the values of k are 6 and –6.

For what value of k does the quadratic equation 9x2 8kx 16 0?

Answer k=3,k=−3.

What is the value of k in a quadratic equation?

Hence, the values of K for the given quadratic equation to have equal roots are 2 and -2. Note: Here, it is important to note that a quadratic equation can have equal and real roots only when the discriminant of the quadratic equation is equal to zero.

What is the value of discriminant X² 4x +4 0?

We can simply find the value of the discriminant of the quadratic equation x² + 4x + 4, by using the formula of the discriminant. Since the value of the discriminant is 0, this implies that the quadratic equation has real and equal roots. Hence, the value of the discriminant of the quadratic equation x² + 4x + 4 is 0.

What is the discriminant of x2 4x 4 0?

The discriminant is zero.

What is the discriminant of quadratic equation 2x² 4x 3 0?

The given equation is of the form ax2 + bx + c = 0 where a = 2 b = – 4 andc = 3. Therefore the discriminantb2 – 4ac = – 42 – 4 × 2 × 3 = 16 – 24 = – 8 < 0So the given equation has no real roots.

What will be the nature of the roots of the equation 2x² 4x 7 0?

1 Answer. Hence, roots of the quadratic equation are real and unequal.

What will be the nature of roots of quadratic equation 2x2 4x 5 0?

Answer. The nature of quadratic equation is no real roots.

For what values of k does the equation 2x 2 KX 8 0?

Expert-verified answer

Find the value of k for which the roots of the quadratic equation 2x2+kx+8=0, will have equal value. SOLUTION : According to the above question, the roots have equal and real value. => K = 8 or - 8.