If k= ( 4 + 1 2 ⁻¹ ( 2 3 ) )+ ( 1 2 ⁻¹ ( 2 3 ) ) , then the number of solutions of the equation ⁻¹(k x-1)= ⁻¹ x- ⁻¹ x is _ _ _ _

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Quantrex Academy · Accepted Answer

Correct answer: 1

Let = 1 2 ⁻¹ 2 3 , then 1 2 ⁻¹ 1 3 = ( 4 - ) k = + = 1 = 2 2 k = 2 2 3 = 3 ⁻¹(3x - 1) = ⁻¹x - ⁻¹x ⁻¹(3x - 1) = 2 - 2 ⁻¹x 3x - 1 = ( 2 - 2 ⁻¹x ) 3x - 1 = 2x^2 - 1 x = 0, 3 2 (rejected) No. of solution = 1

If k= ( 4 + 1 2 ⁻¹ ( 2 3 ) )+ ( 1 2 ⁻¹ ( 2 3 ) ) , then the number of solutions of the equation ⁻¹(k x-1)= ⁻¹ x- ⁻¹ x is _ _ _ _

Correct answer

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