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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.
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- Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .
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- Solve for x :sqrt(x+1)-sqrt(x-1)=1.
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- If x ,y in R a n d2x^2+6x y+5y^2=1,t h e n a. |x|lt=sqrt(5) b. |x|ge...
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- If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...
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- Show that for any triangle with sides a ,b ,a n dc3(a b+b c+c a)<(a+b+...
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- For what values of m, does the system of equations 3x+my=m and 2x-5y=2...
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- Show that the square to (sqrt(26-15sqrt(3)))//(5sqrt(2)-sqrt(38+5sqrt(...
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- If alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the r...
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- Let f(x)=x^2+b x+c ,w h e r eb ,c in Rdot If f(x) is a factor of both...
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- If the equation a x^2+b x+c=x has no real roots, then the equation a(a...
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- The value of expression x^4-8x^3+18 x^2-8x+2 when x=2+sqrt(3) a. 2 ...
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- The exhaustive set of values of a for which inequation (a -1)x^2- (a+1...
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- If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentr...
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- If |z-(1/z)|=1, then a. (|z|)(m a x)=(1+sqrt(5))/2 b. (|z|)(m in)=(s...
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- zo is one of the roots of the equation z^n cos theta0+ z^(n-1) cos th...
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- If a0, a1, a2, a3 are all the positive, then 4a0x^3+3a1x^2+2a2x+a3=0 ...
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- If 1,z1,z2,z3,.......,z(n-1) be the n, nth roots of unity and omega b...
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- If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...
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- All the values of ' a ' for which the quadratic expression a x^2+(a-2)...
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