Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Quadratic Equation and Inequalities question

2022 · 26 Jul · Shift 1 · Q41
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Quadratic Equation and Inequalities
  5. /2022 · 26 Jul · Shift 1 · Q41

Quadratic Equation and Inequalities question

2022 · 26 Jul · Shift 1 · Q41

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1
The number of distinct real roots of the equation x5(x3−x2−x+1)+x(3x3−4x2−2x+4)−1=0x^{5}\left(x^{3}-x^{2}-x+1\right)+x\left(3 x^{3}-4 x^{2}-2 x+4\right)-1=0x5(x3−x2−x+1)+x(3x3−4x2−2x+4)−1=0 is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Quadratic Equation and Inequalities

  • The minimum value of the sum of the squares of the roots of x2+(3−a)x+1=2a is:2022 · MCQ
  • The sum of the cubes of all the roots of the equation x4−3x3−2x2+3x+1=0 is ​.2022 · Numerical
  • Let p and q be two real numbers such that p + q = 3 and p4 + q4 = 369. Then (p1​+q1​)−2 is equal to ​.2022 · Numerical
  • If α,β are the roots of the equation x2−(5+3log3​5​−5log5​3​)x+3(3(log3​5)31​−5(log5​3)32​−1)=0, then the…2022 · MCQ
  • The number of distinct real roots of x4 − 4x + 1 = 0 is :2022 · MCQ
  • If the sum of all the roots of the equation e2x−11ex−45e−x+281​=0 is loge​p, then p is equal to ​.2022 · Numerical
  • Let α, β be the roots of the equation x2−4λx+5=0 and α, γ be the roots of the equation x2−(32​+23​)x+7+3λ3​=0, λ> 0. If β+γ=32​…2022 · Numerical
  • The sum of all real values of x for which x2+3x+103x2−9x+17​=3x2+5x+125x2−7x+19​ is equal to ​.2022 · Numerical