Question

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

Answer 1

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

Answer 2

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

${}$

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

• 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

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

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

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

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