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CENGAGE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Solved Examples And Exercises
- The quadratic x^2+a x+b+1=0 has roots which are positive integers, th...
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- The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+...
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- If alpha,beta are real and distinct roots of a x^2+b x-c=0a n dp ,q ar...
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- Let a!=0a n dp(x) be a polynomial of degree greater than 2. If p(x) ...
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- A quadratic equation with integral coefficients has two different prim...
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- If a ,b ,c are three distinct positive real numbers, the number of rea...
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- Let a,b and c be real numbers such that 4a+2b+c=0 and ab lt 0.Then t...
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- If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equa...
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- If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...
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- If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt...
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- If one root is square of the other root of the equation x^2+p x+q=0, t...
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- Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0a ...
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- Let alpha,beta be the roots of x^2-x+p=0 and gamma,delta are roots of ...
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- If f(x)=x^2+2b c+2c^2a n dg(x)=-x^2-2c x+b^2 are such that min f(x)> m...
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- For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...
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- Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) be the minimum value of f(x)do...
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- If alphaa n dbeta are the roots of the equation x^2+b c+c=0,where clt...
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- If b > a , then the equation (x-a)(x-b)-1=0 has (a) both roots i...
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- The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has a. no solution b. o...
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- If the roots of the equation x^2-2a x+a^2-a-3=0 are real and less tha...
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