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Let a is a real number satisfying a^3+1/...

Let `a` is a real number satisfying `a^3+1/(a^3)=18` . Then the value of `a^4+1/(a^4)-39` is ____.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a...

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  5. If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...

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  7. If omega is a cube root of unity, then find the value of the following...

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  8. If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the values of...

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  9. If omega is a cube root of unity, then find the value of the following...

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  12. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

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  13. If omega is a cube root of unity, then find the value of the following...

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  14. If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 th...

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  15. Let z1,z2, z3, zn be the complex numbers such that |z1|=|z2|=|zn|=1. I...

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  18. Find the range of f(x)=x^2-x-3.

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  19. If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...

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  20. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

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