Division is repeated subtraction, in the loosest sense.
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:
2
Step-by-step explanation:
Ok so basically you want a number that is evenly divisible by 4. Or in other words 4 x ? = 691,61#
The easiest thing to do is start with a zero there and divide it by 4 to see what you get.
691,610 / 4 = 172,902.5
Since this is not evenly divisible by 4 let's round it up to the next whole number and multiply by 4
4 x 172,903 = 691,612
So the digit you can put on the end of the number is 2
Answer:
Volume: 41.643
Surface area: 119.04 (nearest tenth... I don't know...sorry)
Step-by-step explanation:
I didn't know if you need volume or surface area so you got both!
