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.
Solving this requires use of conversions
we already know that
2.05 m > 2 m
all that's left is the question
200 cm vs. 2.05 meters
I we know our equivalencies, we know that
100 cm = 1 m
if this is so then
200 cm = 2 m
we already know that
2.05 m > 2 m
so it must also be that
2.05 m > 200 cm
Hi there..
5/13 t = -9
Solve for T
t = 5/13 * (-9)
t= -177/5
Have a good night !
Answer:
e=2
Step-by-step explanation:
multiply both sides by 2 to get the variable by itself.
e=6
19 feet
convert 2
into an improper fraction
2
= 
hence the length of the wall is 19 feet