Question

how would you solve the equation
(x+a)(x+b)=23
when (a) and (b) are real numbers
and what are the solutions

Answer 1

x^2 + (a+b)x + ab -23

Answer 2

-(a+b)/2 +- sqrt((a+b)^2 - 4(ab - 23))/2

Answer 3

do you need actual numbers for the solution?

Answer 4

integer of otherwise?

Answer 5

yes

Answer 6

x+b = 23 or x+a = 23....would be the only integer solutions I see

Answer 7

if we are not bound to integers, then there cold be alot of solutions

Answer 8

x^2 +(a+b)x +____ = (23 -ab)

x^2 + (a+b)x + (a+b)^2/4 = 23 - ab + (a+b)^2/4

(x+(a+b)/2)^2 = 23 -ab +(a+b)^2/4

Answer 9

all we have to go on really is that they y intercept is (ab-23) and I dont see a 'one' solution to this

Answer 10

any thoughts?

Answer 11

nothing but thank you