Math, asked by rashid8482000325, 7 months ago

if a+b=5and ab=2 the find a square+b square

Answers

Answered by aryan073
3

Answer:

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Step-by-step explanation:

a²+b²=(a+b)²

a²+b²+2ab

(5)²+2(2)=25+4=29

Answered by Uriyella
3

Answer :–

  • 21 is the value of a² + b².

Given :–

  • a + b = 5.
  • ab = 2.

To Find :–

  • The value of a² + b².

Solution :–

We know that,

• a² + b² + 2ab = (a + b)²

Now, we transpose +2ab from L.H.S. to R.H.S.,

• a² + b² = (a + b)² – 2ab –––––(1)

Here,

The given values of (a + b) and (ab) are,

  • a + b = 5
  • ab = 2

Now, substitute both the values in equation (1),

 \hookrightarrow (5)² - 2(2)

Now, open both the brackets.

 \hookrightarrow 25 - 4

 \hookrightarrow 21

Hence,

The value of a² + b² where, a + b = 5 and ab = 3 is 21.

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