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What is the formula of discriminant of a quadratic equation?

What is the formula of discriminant of a quadratic equation?

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 D b2 4ac?

The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation ax2 + bx + c = 0 is D = b2 – 4ac. If D > 0, then the equation has two real distinct roots.

What is the discriminant of quadratic equation ax2 bx c 0?

b2 − 4ac
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 is the discriminant of the quadratic equation 3 4x =- 6×2?

-56
The discriminant of the quadratic equation 3 – 4x = -6×2 is -56.

What is the B in ax2 BX C?

Notes. Remember, the standard form of a quadratic looks like ax2+bx+c, where ‘x’ is a variable and ‘a’, ‘b’, and ‘c’ are constant coefficients. ax2 is called the quadratic term, bx is the linear terms, and c is the constant term.

What is the discriminant of the quadratic equation 3 4x =- 6x 2?

How do you calculate discriminant?

The discriminant is the formula b squared minus 4ac remembering that a, b and c are the coefficients of your quadratic in standard form. It tells you the number of solutions to a quadratic equation. If the discriminant is greater than zero, there are two solutions.

What is the value of the discriminant for the quadratic equation =- 8x 8?

What is the value of the discriminant of the quadratic equation. 0 2×2 −8x +8 = 0 , and what does its value mean about the number of real number solutions the equation has? The discriminant = 0, which means there are 0 real number solutions. The discriminant = 0, which means there are 1 real number solutions.