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In polynomials you have seen expressions of the form x2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we call it an equation. The equations of the second degree in a single variable "x" or "y" are generally referred to as quadratic equations and the most general form of it is
ax2 + bx + c = 0. The roots or solution for the quadratic equation can be obtained by substituting different values for x and selecting that value for which the value of the equation is zero. The methods which we have seen in factorization of polynomials are also applicable to obtain the roots of a quadratic equation. However, in this part we look at a specific method which is only applicable to solve quadratic equations.
According to this method the roots of a quadratic equation ax2 + bx + c = 0 are
x
This is derived as follows. We have
ax2 + bx + c = 0
ax2 + bx = - c ........(1)
In order to make the LHS a perfect square, we add to to the LHS and since the equality is to be preserved we do so for the other side also. Hence we obtain
x2 +
Determine the Measurements of Segments and Angles Postulate 1.5 (The Distance Postulate) There is a unique positive number corresponding to every pair of points. Pos
three years ago,Rica was thrice as old as dandy.Three years hence,she will be twice as old.Find their present.
introduction
the number is 605176 the underline digit is 0
How to Make Equations of Conics Easier to Read ? If you want to graph a conic sections, first you need to make the equation easy to read. For example, say you have the equatio
In this section we will be searching how to utilize Laplace transforms to solve differential equations. There are various types of transforms out there into the world. Laplace tran
$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded da
What is our aim when teaching children multiplication? Firstly they should be able to judge which situations they need to multiply in, and the numbers that are to be multiplied sec
i need help in math
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