Answer:
A. The solutions are
.
B. The factored form of the quadratic expression 
Step-by-step explanation:
A. To find the solutions to the quadratic equation
you must:


The solutions are:

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.
To factor
:
First, multiply the constant in the polynomial by
where
is equal to -1.

Since both terms are perfect squares, factor using the difference of squares formula


<span>To solve these GCF and LCM problems, factor the numbers you're working with into primes:
3780 = 2*2*3*3*3*5*7
180 = 2*2*3*3*5
</span><span>We know that the LCM of the two numbers, call them A and B, = 3780 and that A = 180. The greatest common factor of 180 and B = 18 so B has factors 2*3*3 in common with 180 but no other factors in common with 180. So, B has no more 2's and no 5's
</span><span>Now, LCM(180,B) = 3780. So, A or B must have each of the factors of 3780. B needs another factor of 3 and a factor of 7 since LCM(A,B) needs for either A or B to have a factor of 2*2, which A has, and a factor of 3*3*3, which B will have with another factor of 3, and a factor of 7, which B will have.
So, B = 2*3*3*3*7 = 378.</span>
Inverse operation is an operation that undoes what was done by the previous operation. Take this simple addition problem 5+2=7. If we want to reverse the addition, we just subtract 7-2=5 and we are back where we started. You do the same for multiplication and division.
Answer
y = 
Step-by-step explanation:
-10 + 2y = 7
Add 10 to both sides of the equation
2y = 7 + 10
Add 7 and 10
2y = 17
divide each term in 2y=17 by 2

Divide y by 7
y = 
<u>Hope this helps </u>
Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703

It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.