The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-
2x^2 - 4x - x + 2 = 0
now factor by grouping
2x(x - 2) - 1(x - 2) = 0
(x - 2) is common so
(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.
The last example is solved in the same way.
Answer:
sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns
The answer is D
Explanation)
Multiplication identity property is when a factor is multiplied by 1
<span>b – 2a – c
= 9 - 2(-3) - (-6)
= 9 + 6 + 6
= 21
answer
21</span>
Answer: 5/6 > 29/36
<u>Find Common Denominator</u>
6: 6,12,18,24,30,36
36: 36,72,106
CD=36
<u>Multiply both sides by 6</u>
5/6×6/6=30/36
<u>Compare</u>
30/36 > 29/36
<u>Therefore</u>
5/6 > 29/36
