![]() ![]() The imaginary number, i, is equal to the square root of negative one, √(-1). You may be wondering, though, what if the discriminant is less than zero? Can you take the square root of a negative number? The answer is yes, it simply requires the use of imaginary numbers. The one exception to this rule is if b^2 – 4ac (called the discriminant) equals zero, because the square root of zero only equals zero. Therefore, because the quadratic formula contains the square root of ( b² – 4ac), we must include the plus or minus in front, which results in two possible results for the square root and thus, two possible solutions to the quadratic equation. Therefore, whenever you take a square root of an expression, it is good practice to write +/- √ to express that there are two possible solutions. That is because two positive numbers multiplied together results in a positive number, but two negative numbers multiplied together also results in a positive number.įor example, the square root of 9 is plus or minus 3, because 3 x 3 = 9 and -3 x -3 = 9 as well. However, whenever one takes the square root of a positive value, there are always two possible answers, a positive answer and a negative answer. During the derivation, one must take the square root in order to isolate x (recall √x² = x). When y = 0 in a quadratic equation, deriving the solution for x results in the quadratic formula. Function Calculatorįind the main properties of functions easily.X = \frac = -2 Why Are There Two Solutions to the Quadratic Equation? Integral CalculatorĮasily find antiderivatives by applying different techniques. Linear Programming CalculatorĮfficiently optimize resources by solving linear programming problems. Solve complex integration problems, including improper integrals, quickly. ![]() Our Most Popular Math Calculators Definite and Improper Integral Calculator We cover various mathematical concepts and topics, from simple to complex. Our calculator is designed to provide precise results, helping you save time and eliminate errors. Our user-friendly interface ensures that even complex calculations can be performed effortlessly, making math accessible to everyone. Type a math problem Solve Examples x2 3x 28 x2 5x + 3y 20 x2 10x + 25 0 2x2 + 12x + 40 0 31 m + mm 1 b 32 2b +16 4 Quiz x23x 28 x210x+25 0 31 m+ mm1 Learn about quadratic equations using our free math solver with step-by-step solutions. ![]() ![]() We offer a wide range of calculators for math, including algebraic and calculus tools, making it your one-stop destination for all your mathematical needs. Our mission is to make math more approachable and enjoyable for people of all ages and backgrounds. Who Are We?ĮMathHelp is a team of dedicated math enthusiasts who believe everyone should have access to powerful mathematical tools. Optimize linear objective functions easily using our Linear Programming Calculator, which is valuable in resource allocation and economics. Make data analysis a breeze with our Probability and Statistics Calculator, which helps you extract meaningful insights from your data. Tackle discrete mathematical problems confidently with our specialized calculator, ideal for computer science, cryptography, and more. Perform matrix operations and solve systems of linear equations with our Linear Algebra Calculator, essential for fields like physics and engineering. Improve your calculus knowledge with our Calculus Calculator, which makes complex operations like derivatives, integrals, and differential equations easy. Solve pre-calculus problems with our specialized calculator, helping you master foundational math concepts before diving into advanced mathematics. Our Geometry Calculator is your handy tool for working with triangles. Our Calculator Categories Algebra CalculatorĮxplore our Algebra Calculator, designed to help solve equations, factor polynomials, and more, making algebra more accessible to you. At eMathHelp, we provide a wealth of mathematical calculators designed to simplify your daily computations, whether you need to tackle complex equations or perform fundamental math operations. ![]()
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