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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If both the roots of a x^2+a x+1=0 are less than 1, then find the exha...
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- If both the roots of x^2+a x+2=0 lies in the interval (0, 3), then fin...
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- Solve (x^2+3x+2)/(x^2-6x-7)=0.
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- Solve sqrt(x-2)+sqrt(4-x)=2.
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- Solve sqrt(x-2)(x^2-4x-5)=0.
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- Solve the equation x(x+2)(x^2-1)=-1.
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- The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is
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- Prove that graphs of y=x^2+2a n dy=3x-4 never intersect.
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- In how many points the line y+14=0 cuts the curve whose equation is x(...
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- Consider the graph of y = f(x) as shown in the following figure. ...
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- If x^2+p x-444p=0 has integral roots where p is prime number, then fin...
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- The equation a x^2+b x+c=0 has real and positive roots. Prove that th...
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- If the roots of the equation x^2-ax+b=0y are real and differ b a quan...
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- If (a x^2+b x+c)y+(a^(prime)x^2+b^(prime)x+c^(prime))=0 and x is a rat...
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- Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...
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- Let a ,b in N and a > 1. Also p is a prime number. If a x^2+b x+c=p f...
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- If 2x^2-3x y-2y^2=7, then prove that there will be only two integral p...
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- If a and c are odd prime numbers and a x^2+b x+c=0 has rational roots ...
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- If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f...
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- If x is real, then the maximum value of y=2(a-x)(x+sqrt(x^2+b^2))
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