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(1) 216^ 1/3 = ∛216 = 6
(2) 3
(4) -5
(5) 1/(3 - √5) = (3 + √5)/(3² - √5²) = (3 + √5) / 4
(6)2x² - 7x + 3
2x² - x - 6x + 3
x(2x -1) -3(2x-1)
(x-3)(2x-1)
(7) AB = CD
AB + BC = CD + BC
AC = BD
hence proved
( 8 ) 97 * 103 = (100 - 3) ( 100 + 3) = (100² - 3²) = (10000 - 9) = 9991
(9) let 0.63 = x
therefore, 100x = 63.63
100x -x = 63.63 - 0.63
99x = 63
x = 63 / 99
x = 7 / 11
(10) question not visible
(11) 2/3 = 8 /12 = 80 / 120
3 /4 = 9 /12 = 90 / 120
therefore numbers are 83/120, 81/120, 85/120 and 87/120
(12) the whole is greater than a part
when equals are added to equals, the resultants are equal
when equals are subtracted from equals, the resultants are equal
(2) 3
(4) -5
(5) 1/(3 - √5) = (3 + √5)/(3² - √5²) = (3 + √5) / 4
(6)2x² - 7x + 3
2x² - x - 6x + 3
x(2x -1) -3(2x-1)
(x-3)(2x-1)
(7) AB = CD
AB + BC = CD + BC
AC = BD
hence proved
( 8 ) 97 * 103 = (100 - 3) ( 100 + 3) = (100² - 3²) = (10000 - 9) = 9991
(9) let 0.63 = x
therefore, 100x = 63.63
100x -x = 63.63 - 0.63
99x = 63
x = 63 / 99
x = 7 / 11
(10) question not visible
(11) 2/3 = 8 /12 = 80 / 120
3 /4 = 9 /12 = 90 / 120
therefore numbers are 83/120, 81/120, 85/120 and 87/120
(12) the whole is greater than a part
when equals are added to equals, the resultants are equal
when equals are subtracted from equals, the resultants are equal
anu210:
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