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Example
Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2.
8a + 5bc
= 8.2 + 5.3.1
= 16 + 15
= 31
9a + c
= 9.2 + 1
= 18 + 1
= 19
x3
= 23
= 2.2.2
= 8
Now, what would be the value of 8abc, if one of the quantities a, b or c is zero. It will be zero and this is irrespective of other values. A factor which has its value as zero is called zero factor. Remember that every power of zero is zero.
Now is it that we only have quantities of the form 8ab or x3. No, we often come across quantities like or In mathematics, the sign is referred to as a radical sign and at this point let us define what square root is. The square root of any quantity is that value whose square is equal to the given expression. That is, = 2. If we square two we get four which is the required quantity under the radical sign. Similar to square root we have cube root , the fourth root and the fifth root , etc........ roots. Only that we have to multiply the given quantity the required number of times to get the quantity under the radical sign. Now we look at a couple of examples as how to solve problems having the radical sign.
Q. Adding Fractions with the Same Denominator? Adding fractions with the same denominator is easy- you add the numerators (the tops), and you leave the denominator alone!
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.
how do i understand algebra? whats the formula i just dont get it
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if Mr.Ibias oredered a rectangular pizza and he wants 2/3 of the pizza to be pepperoni and 1/2 of the pizza with pineapple draw and label the pizza with toppings explain your think
A pair of pants costs $24. The cost was decreased by 8%. What is the new cost of the pants? If the cost of the pants is decreased by 8%, the cost of the pants is 92 percent of
-9/5 / 2
students dont retain the topic, hoe to make it easier?
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