Question

please explain it with step by step​

Answer 1

Class 9

>>Maths

>>Polynomials

>>Algebraic Identities

>>If a^2 + b^2 + c^2 = 250 and ab + bc + c

Question

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If a

2

+b

2

+c

2

=250 and ab+bc+ca=3, then find a+b+c.

Easy

Solution

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a

2

+b

2

+c

2

=250 & ab+bc+ac=3, find a+b+c

→ the general formula

(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ac)

=250+2(3)

=250+6

∴(a+b+c)

2

=256

∴a+b+c=

256

∴a+b+c=16