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प्रश्न
If x = `3^(2/3) + 3^(1/3)`, prove that x3 - 9x - 12 = 0
योग
उत्तर
x = `3^(2/3) + 3^(1/3)`
⇒ x3 = `3^2 + 3 + 3 xx 3^(2/3) xx 3^(1/3)(3^(2/3) + 3^(1/3))`
⇒ x3 = `9 + 3 + 3 xx 3^(2/3 + 1/3)(x)`
⇒ x3 = 12 + 9x
⇒ x3 - 9x - 12 = 0.
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Solving Exponential Equations
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