The sum of two integers is 7, and the sum of their squares is 25. What is the product of these two integers?

x = 4, y = 3

x = 3, y = 4

Step-by-step explanation:

Set equation 2 equal to x or y

y = 7 - x

Sub in place of y in equation 1

x

2 + (7 – x)

2 = 25

x

2 + (7 – x)(7 – x)= 25

Set equal to zero

Expand Brackets and simplify

x

2 + 49 - 14x + x2 = 25

2x2

- 14x + 49 = 25

2x2

- 14x + 24 = 0

Factorise and remove a factor first if

possible!

x

2

- 7x + 12 = 0

(x – 4)(x – 3)= 0

x = 4 and x = 3

Sub values of x into ‘y = 7 – x’

x = 4, y = 3

x = 3, y = 4

please mark as brainlist

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

5104.38 inches

step-by-step explanation: