1.

If 5a2+b2+ c2- 6a-8c 4ab -25, then the value of (b- c2+a) is ​

Answer»

SOLUTION

GIVEN

\sf{5 {a}^{2}  +  {b}^{2 } +  {<klux>C</klux>}^{2} - 6a - 8c = 4ab - 25  }

TO DETERMINE

The VALUE of

\sf{b -  {c}^{2}  + a}

EVALUATION

Here the given EXPRESSION is

\sf{5 {a}^{2}  +  {b}^{2 } +  {c}^{2} - 6a - 8c = 4ab - 25  }

Now we SIMPLIFY it as below

\sf{5 {a}^{2}  +  {b}^{2 } +  {c}^{2} - 6a - 8c = 4ab - 25  }

\sf{ \implies \: 5 {a}^{2}  +  {b}^{2 } +  {c}^{2} - 6a - 8c  -  4ab  +  25 = 0  }

\sf{ \implies \: 4 {a}^{2} - 4ab  +  {b}^{2 } +  {c}^{2}  - 8c  + 16 +  {a}^{2}   - 6a +  9 = 0  }

\sf{ \implies \:  {(2a - b)}^{2} +  {(c - 4)}^{2} +  {(a - 3)}^{2} = 0  }

Which gives

2a - b = 0 , c - 4 = 0 , a - 3 = 0

Thus we get

a = 3 , b = 6 , c = 4

Hence

\sf{b -  {c}^{2}  + a}

\sf{ = 6 -  {(4)}^{2}  + 3}

\sf{ = 6 -  16  + 3}

=  - 7

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Learn more from Brainly :-

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then abc+ac-a=?

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