What is (a-b)(a+b)=16,a+b=8 ?

The solution to (a-b)(a+b)=16,a+b=8 is

Popular >

(a-b)(a+b)=16,a+b=8

(a - b) (a + b) = 16, a + b = 8

(a = 5, b = 3)

Solution steps

[(a - b) (a + b) = 16 a + b = 8]

Isolate

a

for

(a - b) (a + b) = 16 : a = b^{2} + 16, a = - b^{2} + 16

Plug the solutions

a = b^{2} + 16, a = - b^{2} + 16

into

a + b = 8

For

a + b = 8

, subsitute

a

with

b^{2} + 16 : b = 3

For

a + b = 8

, subsitute

a

with

- b^{2} + 16 :

No Solution for

b \in R

Plug the solutions

b = 3

into

(a - b) (a + b) = 16

For

(a - b) (a + b) = 16

, subsitute

b

with

3 : a = 5, a = - 5

Verify solutions by plugging them into the original equations

Therefore, the final solution for

(a - b) (a + b) = 16, a + b = 8

(a = 5, b = 3)

f (x) = 0, f (x) = x^{3} - 3 x^{2} + 4

d = 300 m, t = 3 h

c = (a + b) + c, a = 6

2 x + 3 y = 9, (a + b) x + (2 a - b) y = 3 (a + b + 1)

2 x + y = 2, x y x + 2 y = 4 x y