How do you find the discriminant of a quadratic equation?

How do you find the discriminant of a quadratic equation?

The discriminant is the part of the quadratic formula underneath the square root symbol: bxb2-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is the discriminant of the quadratic equation x?

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 u2212 4ac; for a cubic equation x3 + ax2 + bx + c 0, the discriminant is a2b2 + 18abc u2212 4b3 u2212 4a3c u2212 27c2.

How do you find the discriminant step by step?

Quadratic Formula – Discriminant

Step 1: calculate the discriminant, using the formula: u0394b2u22124ac.

Step 2: solve the quadratic equation, which depends on the sign of the discriminant u0394, which leads to three possible cases: Case 1 if u0394x26gt;0: then the quadratic equation has two solutions: xu2212bu2212u221au03942aandxu2212b+u221au03942a.

What is the discriminant of x 2 10x 25 0?

Explanation: x2u221210x+25 is a quadratic equation in the form of ax2+bx+c , where a1,bu221210,andc25 . The discriminant of a quadratic equation is b2u22124ac