1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer:
Step-by-step explanation:
x=
47
14
Step-by-step explanation:
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
7. y = 1, AB = 1, BD = 10 and AD = 11
8. x = 5, AB = 20 and BC = 20
9. x= 5 and AB = 33
10. No, because AC = 12.5 while AB + BC = 20 (they should equal the same and they don't.)
Answer:
Square each number: 1 , 2 , 3 , 4 , 5:
1² = 1 * 1 = 1
2² = 2 * 2 = 4
3² = 3 * 3 = 9
4² = 4 * 4 = 16
5² = 5 * 5 = 25
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