word problems, Algebra

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Logarithms, if log a-b/2=1/2 (log a + log b) show that a*a+b*b=6ab

if log a-b/2=1/2 (log a + log b) show that a*a+b*b=6ab

Rational root theorem, If the rational number x= b/ c is a zero of the n th...

If the rational number x= b/ c is a zero of the n th degree polynomial,                                      P ( x ) = sx n + ...........+ t Where every the coefficients are

Application of linear equation, Sabrina invested 1500000 in stocks and bond...

Sabrina invested 1500000 in stocks and bonds.Her investment in bonds in 5000 more than half her investment in stocks.How much did she invest in each ?

Non-linear systems, In this section we will discussed about non-linear syst...

In this section we will discussed about non-linear systems of equations.  A non-linear system of equations is a system wherein at least one of the variables contains an exponent ot

Example of exponential growth, Example The growth of a colony of bacteria ...

Example The growth of a colony of bacteria is provided by the equation,                                            Q = Q e 0.195 t If there are at first 500 bacteria exist

Find out all the zeroes - rational zeroes, Example   Find out all the zero...

Example   Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example.  Follo

Reducible to quadratic form, Solve the equation  x 4 - 7 x 2 +12 = 0 ...

Solve the equation  x 4 - 7 x 2 +12 = 0 Solution Now, let's start off here by noticing that                          x 4  = ( x 2 ) 2 In other terms, here we can

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