31.3k views
2 votes
Help!! help!! help!! help!! help!! help!! help!! help!! help!!


(a)/(b) - (b)/(2) = 10 \\ a - b = 29


1 Answer

1 vote

Answer:

(8.21, -20.79)

Explanation:

Given the simultaneous equation;


(a)/(b) - (b)/(2) = 10\\a - b = 29

From 2;

a = 29 + b ....3

Substitute 3 into 1;


(29+b)/(b) - (b)/(2) = 10\\(2(29+b)-b^2)/(2b) = 10\\(58+2b-b^2)/(2b) = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

User Nux
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories