If a-b-c-0 and a2-b2-c2-16- find the value of a b-b c-c a

In the given problem, we have to find value of Given and Squaring the equation, we get Now putting the value of in above equation we get, Taking 2 as ...

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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

If a+b+c=0 an...

Question

If a + b + c = 0 and a² + b² + c² = 16, find the value of ab + bc + ca.

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Solution

In the given problem, we have to find value of
Given and
Squaring the equation, we get
$(a + b + c)^{2} = 0^{2}$
$\Rightarrow a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 a c$
Now putting the value of in above equation we get,
Taking 2 as common factor we get
Hence the value of is .

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If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.

In the given problem, we have to find value of Given and Squaring the equation, we get(a+b+c)2=02⇒a2+b2+c2+2ab+2bc+2acNow putting the value of in above equation we get,Taking 2 as common factor we get Hence the value of is .

If a + b + c = 0 and a² + b² + c² = 16, find the value of ab + bc + ca.

In the given problem, we have to find value of
Given and
Squaring the equation, we get
$(a + b + c)^{2} = 0^{2}$
$\Rightarrow a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 a c$
Now putting the value of in above equation we get,
Taking 2 as common factor we get
Hence the value of is .