Given:
a square with an area of a² is enlarged to a square with an area of 25a².
The side length of the smaller square was changed when The side length was multiplied by 5.
Area = (1a)² = a²
Area = 1a * 5 = 5a ⇒ (5a)² = 25a²
Answer:
x=-5
Step-by-step explanation:
2x+10=0
2x=-10
x=-5
Use the rational roots test. The possible roots are: plus/minus 6,3,2,1
Use synthetic division and you will see that 3 is a root:
3 | 1 -3 -3 11 -6
| 3 0 -9 6
____________
1 0 -3 2 0
Use rational root again, to see that possible roots are: plus/minus 2,1
Try 2:
2 | 1 0 -3 -2
| 2 4 2
_____________
1 2 1 0
The above is x^2+2x+1 which is a perfect square: (x+1)^2
So we have the final factorization: (x-3)(x-2)(x+1)^2
So the roots are: 3, 2, -1
Where -1 is a double zero.
<h3>
<u>Explanation</u></h3>
The vertex of Parabola is the maximum/minimum point depending on the value of a.
<u>h-value</u>
<u>k-value</u>
The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.
This is Calculus method. We simply differentiate the function then substitute y' = 0.
Substitute f'(x) = 0
Substitute x = -5/2 in the original equation.
<h3>
<u>Answer</u><u /></h3>
<u></u>