Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.
![x\times (x+8)=65](https://tex.z-dn.net/?f=x%5Ctimes%20%28x%2B8%29%3D65)
![x^2+8x=65](https://tex.z-dn.net/?f=x%5E2%2B8x%3D65)
![x^2+8x-65=0](https://tex.z-dn.net/?f=x%5E2%2B8x-65%3D0)
Splitting the middle term, we get
![x^2+13x-5x-65=0](https://tex.z-dn.net/?f=x%5E2%2B13x-5x-65%3D0)
![x(x+13)-5(x+13)=0](https://tex.z-dn.net/?f=x%28x%2B13%29-5%28x%2B13%29%3D0)
![(x-5)(x+13)=0](https://tex.z-dn.net/?f=%28x-5%29%28x%2B13%29%3D0)
Using zero product property, we get
and ![x+13=0](https://tex.z-dn.net/?f=x%2B13%3D0)
and ![x=-13](https://tex.z-dn.net/?f=x%3D-13)
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.
-2a+2=22
3(a+4)-5(a-2)=22
3a+12-5a-10=22
-2a+12-10=22
-2a+2=22
Answer:
x + y = 4
Step-by-step explanation:
Given the 2 equations
3x + 4y = 10 → (1)
2x + 3y = 6 → (2)
Subtract (2) from (1) term by term on both sides
x + y = 4
Answer:
50 cm^2
Step-by-step explanation:
area of rectangle = base * height
5 * 7 = 35
area of triangle = base * height / 2
5 * 4 = 20/2 = 10
5 * 2 = 10/2 = 5
add them all up
35 + 5 + 10 = 50 cm^2
..... 40.5 ...............