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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 +
how do you slove 4u-5=2u-13
Explain sparse matrix and Dense matrix?
What is Plotting Points ? How would you go about drawing the graph of y = x2 ? One way to do it is by plotting points. (Your graphing calculator uses this method.) This is
States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An
i have five question
200000+500
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
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Define Markov chain Random processes with Markov property which takes separate values, whether t is discrete or continuous, are known as Markov chains.
Q) In a lottery ,a person chooses six different natural numbers at random 1to 20,and if there six numbers match with the six numbers already fixed by the lottery committee ,he win
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