plz answer this.,.........
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11
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★ Solution :-
Let the dividend be x
Now , in mathematical form
( - 12)⁻¹ ÷ x = ( -4)⁻¹
It can be written as
→ ( 1/- 12 ) ÷ x = - ¼
[ °.° a⁻¹ = 1/a ]
→ - 1/12x = - ¼
→ 1/12x = 1/4
By cross - multiplying
→ 4 = 12x
→ x = 4 ÷ 12
[°.° A number multiplied with a variable and transposed to LHS or RHS it will divide the number at LHS or RHS ]
→ x = 1/3 or 3⁻¹
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★ Verification :-
Substituting the value of x in the given question.
→ ( - 12)⁻¹ ÷ x = ( - 4)⁻¹
→ -12⁻¹ ÷ x = 1/(-4)
→ - 12⁻¹ ÷ x = - ¼
Taking LHS & substituting the value of x
→ - ( 12⁻¹/3⁻¹ )
→ - [ ( 1/12 )/( 1/3 ) ]
→ - [ 3/12 ]
→ - ¼
Now , comparing with RHS
LHS = RHS
Hence , verified !
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Answered by
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- let the number to be divided be x
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- a^-1 = 1 / a
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