Let a be an integer such that all the real roots of the polynomial \(2 x^5+5 x^4+10 x^3+10 x^2+1....

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=gvAWYKBXQT0



Duration: 9:00
4 views
0


Let a be an integer such that all the real roots of the polynomial \(2 x^5+5 x^4+10 x^3+10 x^2+10 x+10\) lie in the interval \((a, a+1)\). Then \(| a |\) is equal to ______ . 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-07-10Given below are two statements:Statement-I: In redox titration, the indicators used are sensitiv....
2024-07-10An example of a disproportionation reaction is: ....
2024-07-10In base vs acid titration, at the end point methyl orange is present as....
2024-07-10Let f:R-{0,1}→R be a function such that f(x)+f11-x=1+x. Then f(2) is equal to:....
2024-07-10On reaction with stronger oxidizing agent like KIO4, hydrogen peroxide oxidizes with the evoluti....
2024-07-10The value of \(4+\frac{1}{5+\frac{1}{4+\frac{1}{5+\frac{1}{4+\ldots \ldots . . \infty}}}}\)....
2024-07-10Let \(\alpha_1, \alpha_2, \ldots, \alpha_7\) be the roots of the equation \(x^7+3 x^5-13 x^3-15 ....
2024-07-10Let \(\alpha, \beta\) be the roots of the quadratic equation \(x^2+\sqrt{6} x+3=0\). Then \(\fra....
2024-07-10A sample of a metal oxide has formula M0.83O1.00. The metal M can exist in two oxidation states ....
2024-07-10Let \(\lambda \neq 0\) be a real number. Let \(\alpha, \beta\) be the roots of the equation \(14....
2024-07-10Let a be an integer such that all the real roots of the polynomial \(2 x^5+5 x^4+10 x^3+10 x^2+1....
2024-07-10If \(a\) and \(b\) are the roots of equation \(x^2-7 x-1=0\), then the value of \(\frac{a^{21}+b....
2024-07-10Let \(m\) and \(n\) be the numbers of real roots of the quadratic equations \(x^2-12 x+[x]+31=0\....
2024-07-10The number of points, where the curve \(f(x)=e^{8 x}-e^{6 x}\) \(-3 e^{4 x}-e^{2 x}+1, x \in R\)....
2024-07-10Let \(\alpha, \beta, \gamma\) be the three roots of the equation \(x^3+b x+c=0\). If \(\beta \ga....
2024-07-10The number of integral values of \(k\), for which one root of the equation \(2 x^2-8 x+k=0\) lie....
2024-07-10If for some \(p, q, r \in R\), not all have same sign, one of the roots of the equation \(\left(....
2024-07-10Let \(a, b \in R, a \neq 0\) be such that the equation, \(a x^2-2 b x+5=0\) has a repeated root ....
2024-07-10Let \(a, b \in R\) be such that the equation \(a x^2-2 b x+15=0\) has a repeated root \(\alpha\)....
2024-07-10The minimum value of the sum of the squares of the roots of \(x^2+(3-a) x+1=2 a\) is:....
2024-07-10Let \(f(x)\) be a polynomial of degree 3 such that \(f(k)=\frac{-2}{k}\) for \(k=2,3,4,5\). Then....