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Absolute Value Function

If a2+b2+c2=1...

Question

If a² + b² + c² = 16 and ab + bc + ca = 10, find the value of a + b + c.

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Solution

In the given problem, we have to find value of

Given

Multiply equation with 2 on both sides we get,

Now adding both equation and we get

We shall use the identity

Hence the value of is .

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Similar questions

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

a + b + c = 10,

a^{2} + b^{2} + c^{2} = 60,

find the value of

a b + b c + c a

.

Q. If a+b+c=0 what is the value of

\frac{a^{2} + b^{2} + a b}{b^{2} + c^{2} + b c} + \frac{c^{2} + c a + a^{2}}{b^{2} + c^{2} + b c}

a + b + c = 0

, find value of

\frac{(b + c)^{2}}{b c} + \frac{(c + a)^{2}}{c a} + \frac{(a + b)^{2}}{a b}

If $a + b + c = 0$ then find value of $\frac{a^{2}}{b c} + \frac{b^{2}}{a c} + \frac{c^{2}}{a b}$

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