The number of positive integral values o...

The number of positive integral values of `, m le 16` for which the equation given in the above questions has 4 distinct real root is:

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VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)

Let a, b, c, d be distinct integers such that the equation (x - a) (x ...
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Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), w...
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The number of positive integral values of , m le 16 for which the equa...
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If the equation (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then...
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The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...
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The integral values of x for which x ^(2) + 17 x +7 is perfect square ...
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Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...
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The number of real values of 'a' for which the largest value of the fu...
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The number of all values of n, (whre n is a whole number ) for which t...
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The number of negative intergral values of m for which the expression ...
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If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...
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The smallest value of k for which both roots of the equation x^(2)-8kx...
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If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=
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The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...
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The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...
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Find the number of integral vaues of 'a' for which the range of functi...
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When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...
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Let p(x)=0 be a polynomial equation of the least possible degree, with...
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The range of value's of k for which the equation 2 cos^(4) x - sin^(4...
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Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...
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