Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve 
, use inverse operations by squaring both sides of the equal sign.
The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.
and
![3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4](https://tex.z-dn.net/?f=3-7%20%3D%20%5Csqrt%7B-4%283%29%2B28%7D%5C%5C%5Btex%5D-4%20%3D%20%5Csqrt%7B16%7D%5C%5C-4%20%3D-4)
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Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have
Simplify:
Multiply both sides by 5 we get;
Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.
He used 7 pints all together because there at 2 cups in each pint and 4 pints in a half a gallon.
Question:
What are the options to choose from?
