Question

Question: Use completing the square method to solve x2=2x-8=0 A man driving to work has to pa...

1. Use completing the square method to solve x²=2x-8=0
2. A man driving to work has to pass through three sets of traffic lights and the probability that he will stop at any of the lights is 3/5. Draw a tree diagram to represent the above information and find the probability that he will stop at all three lights sets.
3. By the formula solve the quadratic equation   2x² - 5x+5=0    
4. The average rate of depreciation in value of a water pump is 8% per annum. After three years its value is Ksh. 140,700. Determine its value at the start of the three year period.              
5. Find the sum of the first 9 terms of G.P 8+24+72+……                  

6. (a) Given the following arguments:

                 S1: All my tin objects        are saucepans

   S2: I find all your presents very useful

   S3: None of my saucepans is of the slightest use.

   S4: Your presents to me are not made of tin.

   Represent the following in a Venn diagram     

7. 6% of components produced by a machine are defective. If two components are chosen at random, determine the probability that:             (i)Both will be non-defective (ii) The first will be non-defective while the second will be defective.

8. Solve the following quadratic equation by factorization 2x²-3x+1=0        

Answer 1

Page No. Date By wing the formula method, we have x²5x+5=0 compaining the given en with an + bx+cool - a=l, b=-5, 6-5. x = -; x = -b & 6²-4ac za 5 + 25-401) (5) 2012 5 + ✓ 25-20 - 2 = - 2 = 5+ V5 i x= 5-15 x= 5 +5 2 method This gives the root st5 & 5-vs

By wing the formula method, we have x²5x+5=0 compaining the given can with an+bx+c=0 a=l, b=-5 , c=5 . x= = x 2 = -b & √b²-4ac d za 5+ 25-46) (5) o 200 5+ / 25- 20 23 - x = 5+ 15 -. = 5+15 ; 2= 5-15 This method gives the root st5 & 5-15 2

22-3x+1=0 By using the factorisation method we solve the giren equation, - 2x² 3x+1=0 2 C1)=2 CX-D) CR-12=0 aix=1 x=1 on 2x=) f .22=12