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Discriminant Formula In Nassau
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Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e., Δ OR D = b2 − 4ac.
To find the discriminant given the quadratic equation f(x)=ax^2+bx+c, simply record the values of a, b, and c and then substitute them into the discriminant formula: d=b^2-4ac. This will give the value of the discriminant. This also tells the number of roots and whether or not the roots are real or imaginary.
The roots are calculated using the formula, x = (-b ± √ (b2 - 4ac) )/2a. Discriminant is, D = b2 - 4ac.
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.
If the discriminant of a quadratic equation is 2, then the equation has One real solution .
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
Quadratics of either type never take the value 0, and so their discriminant is negative. Furthermore, such a quadratic is positive definite if a>0, and negative definite if a<0.
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.
In algebra, the discriminant, represented as uppercase delta (Δ), is a value calculated from the coefficients of a quadratic equation. It is used to determine the nature of the solutions to the equation. If Δ is greater than zero, the equation has two distinct real roots.