Math, asked by praneethkunduri, 7 months ago

9 A+B= 0 and AB = -36.
What is the value of A - B?​

Answers

Answered by abhishekkumar9050
3

Answer:

by applying it on an Alzebraic identity

Step-by-step explanation:

x^2+(a+b)x+ab

here (a+b) is 0

( ab) is -36

then,

=x^2+(0)x+ (-36)

=x^2-36

36=x^2

6=x

putting the value in the equation

Answered by MrHyper
53

\Huge\mathfrak\orange{{\rm{A}}nswe{\rm{R}}}

{}

\bf{{\underline{Given}}:}

  • A + B = 0
  • A × B = -36

\bf{{\underline{To~find}}:}

  • A - B

\bf{{\underline{Solution}}:}

  • Multiples of -36 :-
  • ( -2, 18 ) , ( -3, 12 ) , ( -4, 9 ) , ( -6, 6 )
  • Now, finding their sums

 \sf \:  \:  \:  \:  \:  \:  \:  \:  \:   - 2 + 18 = 16 \\  \:  \:  \:  \:  \:  \:  \:  \sf  - 3 + 12 = 9 \\  \:  \:  \:  \:  \:  \sf  - 4 + 9 = 5 \\  \:   \:  \:  \:  \:  \: \:  \sf  \orange{ \underline{ \underline{ \bf - 6 + 6 = 0}}}

 \therefore \sf \:  A =  - 6 \:   \\  \sf B = 6

\bf\therefore{{\underline{Required~answer}}:}

 \sf A - B =  - 6 - (6) \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \sf  =  - 6 - 6 \\  \sf =  \orange{ \underline{ \boxed{ \bf  - 12}}} \:  \:

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