What is the value of the discriminant b2 − 4ac?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: - If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - If b2 – 4ac = 0 then the quadratic function has one repeated real root.

What is the value of discriminant b2 4ac?

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.

What is the value of the discriminant b2 − 4ac for the quadratic equation 0 − 2x2 − 3x 8 and what does it mean about the number of real solutions the equation has?

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 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 b2 4ac formula?

This type of equation is called a parabola. The solution for the two roots are calculated from the "quadratic formula": The solution depends on the value of b² - 4ac. This term is called the "discriminant".

What is B² 4ac?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is the discriminant and what does it mean

What is 4ac b2 4a?

When we find the maximum value and the minimum value of ax² + bx + c then let us assume y = ax² + bx + c. Thus, the minimum value of the expression is 4ac – b²/4a. Therefore, we clearly see that the expression y becomes maximum when a < 0. Thus, the maximum value of the expression is 4ac – b²/4a.

What is the value of the discriminant b2 − 4ac for the quadratic equation 0 x2 − 4x 5 and what does it mean about the number of real solutions the equation has ?\?

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has? The discriminant is −4, so the equation has 2 real solutions.

When b2 4ac is equal to zero then the roots are?

1. If b2 - 4ac = 0 then the roots will be x = −b±02a = −b−02a, −b+02a = −b2a, −b2a. Clearly, −b2a is a real number because b and a are real. Thus, the roots of the equation ax2 + bx + c = 0 are real and equal if b2 – 4ac = 0.

What kind of roots does the quadratic equation have when the value of b2 4ac is 0?

Quadratic Polynomials

If b²−4ac = 0 the equation has a repeated real number root.

What is a discriminant value?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: - If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - If b2 – 4ac = 0 then the quadratic function has one repeated real root.

What is the discriminant of the quadratic equation 3 4x 6x2?

The given quadratic equation is 3 - 4x = -6x². The standard quadratic equation is the form ax² + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 - 4x = -6x² is - 56.

What is a discriminant in math?

discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax² + bx + c = 0, the discriminant is b² − 4ac; for a cubic equation x³ + ax² + bx + c = 0, the discriminant is a²b² + 18abc − 4b³ − 4a³c − 27c².

What if the discriminant is negative?

If the discriminant is negative, that means there is a negative number under the square root in the quadratic formula. You may have learned in the past that you "can't take the square root of a negative number." The truth is that you can take the square root of a negative number, but the answer is not real.

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

The discriminant of the quadratic equation -x² + 4x - 2 = 0 is 8.

What are the values of a B and C in the quadratic equation 0 x2 3x 2?

Answer: a = 1, b = -3 and c = -2, are the values of a, b, and c in the quadratic equation x² – 3x – 2 = 0. This equation has been compared with the standard form of quadratic equation ax² + bx + c = 0.

How do you find the discriminant of Class 10?

For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation.

What are 4 examples of quadratic equation?

How do you find the quadratic expression?

How do you find h and k values?

(The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax² + bx + c, the vertex (h, k) is found by computing h = ^−b/_2a, and then evaluating y at h to find k.

Which of the following is the discriminant of the quadratic equation ax2 − bx c 0 where a/b/c are real number and a ≠ 0?

The discriminant of the quadratic equation ax2+bx+c=0 is Δ=b2−4ac.

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

Answer. The value of discriminant is -16.