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If x=a+bi is a complex number such that...

If `x=a+bi` is a complex number such that `x^2=3+4i and x^3=2+11i`, where `i=sqrt-1`, then `(a+b)` equal to

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To solve the problem, we need to find the values of \( a \) and \( b \) from the complex number \( x = a + bi \) given that \( x^2 = 3 + 4i \) and \( x^3 = 2 + 11i \). ### Step-by-Step Solution: 1. **Express \( x \) in terms of \( x^2 \) and \( x^3 \)**: \[ x = \frac{x^3}{x^2} \] ...
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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i, where...

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  8. For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...

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  13. If omega(!= 1) be an imaginary cube root of unity and (1+omega^2)^n=(...

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  19. If z(1+a)=b+i ca n da^2+b^2+c^2=1, then [(1+i z)//(1-i z)= A. (a+i b...

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  20. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

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