# If,a+b=25,ab=6 find a and b.please do not use trial and error

1
by mithravishwa

2014-08-20T20:24:26+05:30

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It is very simple..

a + b = 25

a = 25 - b        ---- equation 1

now a b = 6        substitute the value of a from equation 1 in this equation

(25 - b) b = 6

25 b - b² = 6    take all the terms to RHS

b² -25 b + 6 = 0

this is solved using standard quadratic equation rules.

Δ = 25² - 6*4  = 625 - 24 = 601
b =  (25 +- 24.51 ) / 2  = 0.49/2  or  49.51/2

b = 0.245 or 24.755                pair a,b is =  0.245 & 24.755  OR  24.755 & 0.245
a  = 24.755 or 0.245

sir,b=25 is a wrong answer.the book says its 15 or 10!
u have given a wrong data. give value of a+b and ab again
k sir ur right thanks for the answer
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