Answer:
We will add 64 to both sides.
x=8±√20
Step-by-step explanation:
Here we are given the equation:
Now we take half of the coefficient of x and add it to x.
Coefficient of x is 16, half of 16 is 8.
Also we add square of 8 to both sides.
So new equation becomes:
Completing the square:
NOw let us simplify it to get the value of x.
Taking square root on both sides:
Bringing 8 to the right side:
x=8±√20
Answer:
Here, b represents one loaf of bread and m represents the one gallon of milk.
As per the statement:
Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.
⇒
It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.
⇒
Then; system of equation :
.....[1]
.....[2]
Solve for b and m using above system of equations.
Multiply equation [2] by 2 we get;
.....[3]
Subtract equation [1] from [3] we get;
Combine like terms;
Divide both sides by 5 we get;
m = $3
Substitute the value of m in equation [1] we get;
Subtract 3 from both sides we get;
Divide both sides by 4 we get;
b = $2.25
Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:
$2.25 ad $3