What is the formula for a discriminant?

What is the formula for a discriminant?

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 are the 3 cases for the discriminant?

There are three cases:

• b2−4ac<0: The equation has 0 real solutions. The graph does not cross the x-axis.
• b2−4ac=0: The equation has 1 real solution. The graph touches the x-axis at one point.
• 0″>b2−4ac>0: The equation has 2 real solutions. The graph crosses through the x-axis at two points.

What are the 4 methods in solving quadratic equations?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

What will be the nature of the roots of the equation 2x² 4x +3 0?

Hence. Nature of roots of equation, 2x² – 4x + 3 = 0 be imaginary .

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

– 56
Solution: The given quadratic equation is 3 – 4x = -6×2. The standard quadratic equation is the form ax2 + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 – 4x = -6×2 is – 56.

What is 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.

How do you write the quadratic formula?

First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

What is the number of solutions of 4×2 12x 9 0?

4.3 Solving 4×2+12x+9 = 0 by the Quadratic Formula . This quadratic equation has one solution only. That’s because adding zero is the same as subtracting zero.