(17-A)SQUARED=2209 SOLVE FOR A
17a^2=2209
Divide 2209 by 17.
Then take the square root of that number.
15
i need help
Because this not a high school problem it has to simple they ask for 17 + other number squared = age.
This what you have to do 2209 root = 47- 17= 30
(17+a= 30)2= 2209
Her age 47
You can't squared 17 and take the amount out of 2209 because it will give you 1920 and you need to remember you just start from 1 to root and the result is 43.
Hope that help
56
455
To solve for A in the equation (17 - A)^2 = 2209, we need to follow these steps:
Step 1: Expand the squared term
Expand (17 - A)^2 by multiplying (17 - A) by itself:
(17 - A)(17 - A) = 2209
Step 2: Apply the distributive property
Using the distributive property, multiply each term in the first set of parentheses by each term in the second set of parentheses:
289 - 17A - 17A + A^2 = 2209
Simplifying further gives us:
A^2 - 34A + 289 = 2209
Step 3: Bring all terms to one side of the equation
Subtract 2209 from both sides of the equation:
A^2 - 34A + 289 - 2209 = 0
This results in:
A^2 - 34A - 1920 = 0
Step 4: Solve for A
To solve this quadratic equation, we can factor it (if possible) or use the quadratic formula.
Factorization:
In this case, the equation cannot be easily factored since 1920 is a large number. Therefore, we will use the quadratic formula.
Quadratic Formula:
The quadratic formula states that for an equation in the form Ax^2 + Bx + C = 0, the solutions for x can be found using the formula:
x = (-B ± √(B^2 - 4AC)) / 2A
So, for our equation A^2 - 34A - 1920 = 0, we have A = 1, B = -34, and C = -1920.
Substituting these values into the quadratic formula gives us:
A = (-(-34) ± √((-34)^2 - 4(1)(-1920))) / (2 * 1)
Now we can simplify this expression:
A = (34 ± √(1156 + 7680)) / 2
A = (34 ± √8836) / 2
A = (34 ± 94) / 2
We have two possible solutions:
1. A = (34 + 94) / 2 = 128 / 2 = 64
2. A = (34 - 94) / 2 = -60 / 2 = -30
Therefore, the values of A that satisfy the equation (17 - A)^2 = 2209 are A = 64 and A = -30.