1.

8. If a + b = 8 and ab = 12, find(a) a2 +62(b) the difference between a and b.d the value of​

Answer»

Answer

a² + b² = 40

a - b = ± 4

Given :

a + b = 8

a.b = 12

To find :

a² + b² = ?

a - b = ?

Procedure

Finding a² + b²

a + b = 8 and a×b = 12

a² + b² = (a+b)² - 2.a.b

a² + b² = 8² - 2 × 21

a² + b² = 64 - 24

a² + b² = 40

Finding a - b

We know ,

(a - b)² = a² + b² + 2.a.b

(a - b)² = 40 - 2 (12)

(a - b)² = 40 - 24

(a - b)² = 16

a - b = ± 4

What you need to know ?

  • These questions belongs from algebra , polynomials sections.

  • To find the value of UNKNOWN , the first thing is to SIMPLIFY the known values.

  • An item transferring from left SIDE of equation to right side and right side of equation or left side ,CHANGES its OPERATIONAL sign. for example - Negative become positive and positive become negative.


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