Now the clever bit: Take the coefficient of x, which is 3, divide by two, giving 3/2, and finally square it giving 9/4

Solve 54=x

Parabolas have a highest or a lowest point called the Vertex .Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .We know this even before plotting "y" because the coefficient of the first term, 1, is positive (greater than zero). To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root). Polynomials with rational coefficients always have as many roots, in the complex plane, as their degree; however, these roots are often not rational numbers. In such cases, the polynomial will not factor into linear polynomials. Use step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Explore different ways of finding a solution. Use your classroom's teaching method to guide you through the answer. Show Hints

Not just answers—step-by-step solutions buttons expand answers and explain how that answer was found. Show Intermediate Steps Find the product of multiplicand and most significant digit (MSD) of 3-digit multiplier, and write down the product under the earlier product but the One’s place value of product should start from the Hundred’s place value of multiplicand. Rational functions are quotients of polynomials. Like polynomials, rational functions play a very important role in mathematics and the sciences. Just as with rational numbers, rational functions are usually expressed in "lowest terms." For a given numerator and denominator pair, this involves finding their greatest common divisor polynomial and removing it from both the numerator and denominator. displaystyle{g}'{\left({x}\right)}={\left({x}-{3}\right)}

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According to the Quadratic Formula, x, the solution for Ax 2+Bx+C= 0 , where A, B and C are numbers, often called coefficients, is given by : Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex. This female branch tee from Geberit Mapress is manufactured from stainless steel and is part of a highly effective supply system that can be used for a variety of diverse applications. The high molybdenum content ensures a particularly high corrosion resistance making it a robust, reliable choice.Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step2above, -9 and 6 Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions. This branch tee is suitable for use with cooling water without or with an antifreeze agent and heating water as well as inert gases (nitrogen), compressed air (oil purity 0 to 3), sprinklers, saturated steam at 120°C, technical liquids and chemicals. Features & Benefits: Geberit Mapress Stainless Steel Female Branch Tee - 54mm x 54mm x 2 Inch A polynomial with rational coefficients can sometimes be written as a product of lower-degree polynomials that also have rational coefficients. In such cases, the polynomial is said to "factor over the rationals." Factoring is a useful way to find rational roots (which correspond to linear factors) and simple roots involving square roots of integers (which correspond to quadratic factors). Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula Parabola, Finding the Vertex:

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Find the product of multiplicand and 2nd least significant digit of 3-digit multiplier, and write down the product under the earlier product but the One’s place value of product should start from the Ten’s place value of multiplicand. Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi (Product) Notation Induction Logical Sets Word Problems To find the resulting product, find the sum of 3 individual product of multiplier and multiplicand.Break steps down even further with intermediate steps. These optional additional explanations for individual pieces of step-by-step solutions help guide you. Choose a Method Take the help of free online calculators for Maths all in one place and get accurate and straight forward descriptions. For any parabola, Ax 2+Bx+C,the x-coordinate of the vertex is given by -B/(2A). In our case the x coordinate is 1.5000 Arrange the 4-digit multiplicand and 3-digit multiplier for long multiplication method, multiply the multiplicand by Least Significant Digit (LSD) of multiplier and the product underneath to the line in the way that the Ones’s place value of multiplicand and One’s place value of product of LSD of multiplier and whole multiplicand should be vertically aligned in a straight line. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask about factoring.