What are the discriminants of these families of polynomials?

Jun 15, 2023 ... If the discriminant D < 0, then the quadratic equation ax 2 + bx + c = 0 will not have any real roots. Jun 20, 2014 ... ... (b2-4ac ≥ 0) ⇒ (x = {-b-√{b2-4ac}}/{2a}) \lor (x = {-b+√{b2-4ac}}/{2a}). Please write complete proofs in each subquestion, without ... The answer is statement 1 only, which would be selection A. A graph that meets the criteria expressed above would be: -x^2 + x - 1. where a, b and c are real coefficients. The general solution to such an equation is given by the following formula, called the quadratic formula;. If b2 -4ac ... Solve for a variable, factor, expand, evaluate fractions, linear equations, quadratic equations, inequalities, systems of equations, matrices. Oct 24, 2008 ... (2) Let 4ac − b2 = 0. Using separation of variables, we obtain. Z dy ... b2 − 4ac − (2ad + b −. √ b2 − 4ac)et. √ b2−4ac . (2.7). To ... Jan 24, 2019 ... ... 2+bx+c=0 if and only if. x={-b± √{b2-4ac}}/{2a}. LaTeX Original \documentclass{article} \usepackage{amssymb, mathrsfs, enumitem} \usepackage ... The discriminant, b2 - 4ac, offers valuable information about the "nature" of the roots of a quadratic equation where a, b and c are rational values. It quickly ... Jun 4, 2020 ... I wish I could use b^2-4ac>0 to check whether the people are real or not. Let ax2 + bx + c = 0 be a quadratic equation with arbitrary coefficients a 6= 0, b and c. Its solution is given by the quadratic formula x1,2 = −b ±. √b2 − 4ac.