Question
Consider the equation 4√2x3 − 3√2x −1 = 0 .
Statement 1: Solution of this equation is cos(π/12) .
Statement 2: This equation has only one real solution.
Options :
Both statement 1 and statement 2 are true
Statement 1 is true but statement 2 is false
Statement 1 is false but statement 2 is true
Both statement 1 and statement 2 are false
Answer :
Statement 1 is true but statement 2 is false
Solution :
∴ Statement 1 is true
∴ one root lies in (-1/2, 0), one root is cos π/12 which is positive. As the coefficients are real, therefore all the roots must be real.
∴ Statement 2 is false.
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