What is the value if the discriminant b2 4ac?

When the Discriminant (b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.

What is the solution to 2x 3 4?

2 x − 3 = 4 2x-3=4 2x−3=4. Add 3 to both sides. Simplify 4 + 3 4+3 4+3 to 7. Divide both sides by 2.

What is the term of 3x 4y?

3x-4y = 7 and y = 2x-3. Let’s start by solving 3x-4y = 7 for the variable x. Move the -4y to the right hand side by adding 4y to both sides, like this: -4y + 4y = 0y.

What are the values of AB and C in the quadratic equation 0 5x 4×2 2?

Answer: The values are a = -4, b = 5 and c = -2. the constant term, c = -2. Thus, the values are a = -4, b = 5 and c = -2.

What is the value of the discriminant b2 − 4ac for the quadratic equation 0 − 2×2 − 3x 8 and what does it mean about the number of real solutions the equation has the discriminant is − 55 so the equation has 2 real solutions the discriminant is − 55?

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2×2 − 3x + 8, and what does it mean about the number of real solutions the equation has? The discriminant is 73, so the equation has 2 real solutions.

What is the value of B² 4ac?

As the value of b2 – 4ac determines the nature of roots (solution), b2 – 4ac is called the discriminant of the quadratic equation. Definition of discriminant: For the quadratic equation ax2 + bx + c =0, a ≠ 0; the expression b2 – 4ac is called discriminant and is, in general, denoted by the letter ‘D’.

What happens if the discriminant is positive?

If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution. It tells you the number of solutions to a quadratic equation. If the discriminant is greater than zero, there are two solutions.

What is b2 4ac called?

Quadratic Polynomials The quantity b2−4ac is called the discriminant of the polynomial.

What is b2 4ac used for?

Talk the Talk. The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has.

Why is b2 4ac called a discriminant?

The quantity b2 − 4ac that appears under the square root is called the discriminant and is denoted ∆. If ∆ = b2 − 4ac > 0 then the equation has two distinct real solutions. If ∆ = b2 − 4ac = 0 then the equation has exactly one real solution. If ∆ = b2 − 4ac < 0 then the equation has no real solutions.