Q3. A + B = 0 and AB = - 36.
What is the value of A-B?
2 answers:
Answer:
A - B = ± 12
Step-by-step explanation:
Given
A + B = 0 → (1)
AB = - 36 → (2)
Subtract B from both sides of (1)
A = - B ← substitute into (2)
- B(B) = - 36 ( multiply both sides by 0 1 )
B² = 36 ( take square root of both sides )
B = ± 6
Substitute into (1)
If B = 6 then A =- 6 and A-B = - 6 - 6 = - 12
If B = - 6 then A = 6 and A - B = 6 - (- 6) = 6 + 6 = 12
Step-by-step explanation:
A + B = 0
A = -B
(-B)B) = -36
-B^2 = -36
B^2 = 36
B = 6, -6
So, A = -6, 6
A - B = -12
or
A - B = 12
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