![]() You need to provide a valid quadratic equation, something like 2x²+x-10, which comes already simplified, or you can provide something that is a valid quadratic expression, but needs further simplification like 2x²+3x-1 3/4x - 4/5. The solution (s) to a quadratic equation can be calculated using the Quadratic Formula: The '±' means we need to do a plus AND a minus, so there are normally TWO solutions The blue part ( b2 - 4ac) is called the 'discriminant', because it can 'discriminate' between the possible types of answer: when it is negative we get complex solutions. If you misunderstand something I said, just post a comment. This calculator will use the discriminant formula showing all the steps for a quadratic equation that you provide. We can find the nature and type of the trinomial by the perfect square trinomial calculator. I can see that -12 * 1 makes -11 which is not what I want so I go with 12 * -1. ![]() I can clearly see that 12 is close to 11 and all I need is a change of 1. ![]() My other method is straight out recognising the middle terms. You can also try out the questions related to unlike denominators and quadratic inequalities. Here we see 6 factor pairs or 12 factors of -12. There are so many examples provided which you can browse through. What you need to do is find all the factors of -12 that are integers. With the quadratic in standard form, (ax2+bx+c0), multiply (ac). With the equation in standard form, let’s review the grouping procedures. Grouping: Steps for factoring quadratic equations. I use a pretty straightforward mental method but I'll introduce my teacher's method of factors first. When the leading coefficient is not (1), we factor a quadratic equation using the method called grouping, which requires four terms. So the problem is that you need to find two numbers (a and b) such that the sum of a and b equals 11 and the product equals -12. This hopefully answers your last question. The -4 at the end of the equation is the constant. ![]() In the standard form of quadratic equations, there are three parts to it: ax^2 + bx + c where a is the coefficient of the quadratic term, b is the coefficient of the linear term, and c is the constant. ![]()
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