Math, asked by nithyaak, 1 year ago

if a+b=6 and a^2+b^2=20,Then ab=?​

Answers

Answered by Anonymous
1

b=6-a

a²+b²=20

a²+b²+2ab=20

a²+(6-a)²+2ab=20

a²+36+a²-12a=20

2a²-12a+16=0

2(a²-6a+8)=0

a²-6a+8=0

(x-4)(x-2)=0

x=4,2

when a=4

b=6-4=2

when a=2

b=6-2=4

ab=1 st case=4×2=8

ab=2nd case=2×4=8

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