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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 +
adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to
The mathematics results of 20 first-year university students are given, together with their results of their performances in the year 12 semester Test and Final Assignment:
1/2+1/2
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
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How many times can 3 go into 4?
find non linear relation between given data
Ask question I have 2 problems I need them after 7 hours
Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t
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