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c) Straight line
d) two
3.a) Multiply 2/5 by 4/4 and 3/4 by 5/5, we get
8/20 and 15/20
Five rational numbers can be anything between these two like,
9/20,11/20,13/20,15/10,17/20
b)0.2454545454545..... = x
10x = 2.45454545....
1000x = 245.454545454.....
subtract these two
990x = 243
x = 243/990
x = 27/110
c) now, x^2 = (2 + root3)^2
= 4 + 3 + 4root3
= 7 + 4root3
1/x^2 = 1/7+4root3
if we rationalise this we get,
7 - 4root3 = 1/x^2
Now, substitute both,
7 + 4root3 + 7 - 4 root3
= 14
d) x^4 = (x^2)^2 and 625 = (25)^2
using a^2 - b^2 = (a + b)(a - b)
(x^2 + 25)(x^2 - 25)
= (x^2 + 25)(x + 5)(x - 5)
THIS IS NOT THE FINAL ANSWER FOR THIS QUESTION...THERE IS SUPPOSED TO BE ONE MORE STEP OF FACTORISATION..BUT I AM NOT SURE WHAT IT IS...
Hope this was helpful..
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