For what value of B does the equation have no solutions?

For what value of B does the equation have no solutions?

For what value(s) of b does the equation have no solution? in order for this equation to have a solution, the value of b has to be equal to 3. any other value of b will result in no solution.

For what values of a and b will the system have infinitely many solutions?

Answer. Answer: The required values are a = 3 and b = 1. for a system of linear equations to have infinitely many solutions, the coefficients of the unknown variables (x and y) and the constant terms must be in proportion. Thus, the required values are a = 3 and b = 1.

For what values of a and b will the following pair of linear equations have infinitely many solutions?

x+2y=1 (a-b)x+(a+b)y=a+b-2. So, the values (a,b)=(3,1) satisfies all the parts. Hence, required values of a and b are 3 and 1 respectively for which the given pair of linear equations has infinitely many solutions.

For which value S of K Will the pair of equations KX 3y K 3 12x Ky K have no solution?

Therefore, value of k for which the given pair of linear equations has no solution is k = – 6.

For what value of k will the pair of equations 3x 4y 12?

Multiply 3x+4y=12 with 3 and replace 12 y with 30-kx. This gives us x(9-k)-6. Hence, x= 6/(9-k).

What is the value of k in a system of equations?

Thus for all real values of k other than 10, the given system of equations will have a unique solution. Hence, the required value of k is 10. There is no value of k for which the given system of equations has an infinite number of solutions.

For what value of k does the pair of equations has no solution?

Hence, the given pair of linear equation has no solution if k=−6.

For what value of k the roots of the equation are real?

Hence, k must be less than 4 for the root of the equation x2+4x+k=0 to be real. Hence, k≤4 is the answer.

How many real solution are there if the value of k 0?

SQUARE ROOT PROPERTY The solution set of x 2= k is {√ k -√ k }. This solution set is often abbreviated as {± √ k }. Both solutions are real if k >0 and imaginary if k <0. (If k =0, there is only one distinct solution, sometimes called a double solution.)

What is the value of P if the system of equations 2x PY 8 and X Y 6 have no solution?

Complete step-by-step answer: And we are given the system of equations, 2x + py = 8 and x + y = 6. Thus, we have the following equation. Thus, when the value of p will be 2, the equations will have no solution.

How many real roots does x2 K have when K 0?

Answer. Answer: If we are getting the square root of a number greater than zero, we will always have an answer of two roots.

What is the value of K if the roots of x2 KX k 0 are real and equal?

Answer. Answer: Values of k are 0 and 4.

What is the value of K if the roots of 2x 2 6x k 0 are real and equal?

Answer: Required value of k is 9 / 2.

What is K in a quadratic equation?

(h, k) is the vertex of the parabola, and x = h is the axis of symmetry. the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

What will be the value of K?

therefore the value of k is 5.

What does equal roots mean in maths?

A quadratic equation has equal roots iff its discriminant is zero. A quadratic equation has equal roots iff these roots are both equal to the root of the derivative.

What are 2 equal roots?

If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots. Therefore, there are two real, identical roots to the quadratic equation x2 + 2x + 1. D > 0 means two real, distinct roots. D < 0 means no real roots.

Are there two real roots?

The discriminant is the part under the square root in the quadratic formula, b²-4ac. If it is more than 0, the equation has two real solutions. If it’s less than 0, there are no solutions.

What happens if the discriminant is zero?

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

What if b2 4ac is negative?

The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

What is the real root?

Given an equation in a single variable, a root is a value that can be substituted for the variable in order that the equation holds. In other words it is a “solution” of the equation. It is called a real root if it is also a real number. For example: x2−2=0.

What are 4 types of roots?

Types of Roots

• Fibrous Roots. Fibrous roots are found in monocot plants.
• Taproots. Taproots are found in the majority of dicot plants.
• Adventitious Roots. Adventitious roots are similar to the fibrous roots.
• Creeping Roots.
• Tuberous Roots.
• Water Roots.
• Parasite Roots.

What is a real root example?

Thus, a parabola has exactly one real root when the vertex of the parabola lies right on the x-axis. The simplest example of a quadratic function that has only one real root is, y = x2, where the real root is x = 0.

What are real and equal roots?

Discriminant. For an equation ax2+bx+c = 0, b2-4ac is called the discriminant and helps in determining the nature of the roots of a quadratic equation. If b2-4ac > 0, the roots are real and distinct. If b2-4ac = 0, the roots are real and equal. If b2-4ac < 0, the roots are not real (they are complex).