In an equation like a x 2 + b x + c = y, set y = 0and work out the equation. The ever-reliable Quadratic Formula confirms the values of x as - 2 and - 3. Now we can use those in the Quadratic Formula and check, since we already know our answers are - 2 and - 3: We can set each expression equal to 0 and then solve for x:Ĭomparing our example, x 2 + 5 x + 6 = 0, to the standard form of the quadratic equation (which can also just be called “the quadratic”), we get these values: We can see that either expression equals 0 (since multiplying it times the other expression yields 0). We are seeking two numbers that multiply to 6 and add to 5: Our quadratic equation will factor, so it is a great place to start. ( q u a d r a t i c ) = 0 Solving Quadratic Equations Steps Let's start with an easy quadratic equation:įor the Quadratic Formula to apply, the equation you are untangling needs to be in the form that puts all variables on one side of the equals sign and 0 on the other: i f b 2 - 4 a c i f b 2 - 4 a c > 0 → 2 s o l u t i o n s.i f b 2 - 4 a c = 0 → 1 s o l u t i o n.The discriminant is used to determine how many solutions the quadratic equation has. The expression b 2 - 4 a c, which is under the (sqrt) inside the quadratic formula is called the discriminant. Or, if your equation factored, then you can use the quadratic formula to test if your solutions of the quadratic equation are correct. You can use this formula to solve quadratic equations.

Consider a quadratic equation in standard form: The quadratic formula is used to solve quadratic equations. So a quadratic polynomial has as its highest value something to the second degree something squared.

In math, the meaning of square is an exponent to the second degree. But the origin of the word means “to make square,” as in length times width. Confusion enters when we look at the word “quadratic” because it implies four of something, like a quadrilateral. Polynomials (expressions with many terms) can have linear, square, and cubic values. To understand it, to value it, and to apply it correctly, you need to know a tiny bit of its background, then appreciate every term in it. The Quadratic Formula is a milestone along the path to fully understanding algebra. You can write me at - but without the xyz.The Quadratic Formula is an algebraic formula used to solve quadratic equations. I'd love to hear your comments or suggestions. But even ten shots don't come close to showing everything this calculator can do. If you are viewing this in iTunes, you will see five iPhone screenshots and five iPad screenshots. 8) Keep track of significant figures 9) Statistics - enter data and make a histogram, box and whisker plot, or scatter plot with optional regression line. Currently includes algebra, differential and integral calculus, geometry, trigonometry, vectors, vector calculus, and classical mechanics. 7) Forgot the quadratic formula? Or the double-angle formulas for sine and cosine? The math/science reference hits the high points of various subjects.

Tap the disclosure arrow to see the definition. 6) Help screens linked directly to many of the available functions and constants. You can choose the starting x value of the table, as well as how much x increases for each successive row. Again, great for doing physics homework! 5) It can make a table of the values of any function you care to enter. Tapping on a constant will insert it into your calculation - i.e, you don't have to key in the value. Great for doing physics homework! 4) Constants for scientific calculations - speed of light, strength of gravity at Earth's surface, etc. Currently converts different units of the following: acceleration, angle, area, density, distance, energy, force, mass, power, pressure, speed, temperature, time, and volume. With a tap, you can enter the result of your conversion into the calculator. Most calculator apps can't do this! 3) A unit converter. Can graph implicit functions, such as x^2+y^2-4=0.Calculator can find roots and intersections.You can drag the graph or pinch to zoom in or out.square root, cube root, nth root, natural log, log base 10, log of arbitrary base, absolute value, factorial, permutations (nPr), combinations (nCr), modulus, random integer, bell curve, cumulative normal distribution, decimal to fraction.the usual arithmetic functions and exponentiation.Available functions include the following: Simple to grasp and easy to use, but powerful features are available when you need them. A powerful, flexible graphing calculator Does far more than most calculators out there.

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