Home
Class 10
MATHS
alpha, beta are roots of y^(2)-2y-7=0 fi...

`alpha, beta` are roots of `y^(2)-2y-7=0` find,
(i) `alpha^(2)+beta^(2) " (ii) " alpha^(3)+beta^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `alpha^(2)+beta^(2)=18` (ii) `alpha^(3)+beta^(3)=50`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise PRACTICE SET 2.6|10 Videos

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise PROBLEM SET 2|50 Videos

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise PRACTICE SET 2.4|10 Videos

  • PYTHAGORAS THEOREM

    CHETAN PUBLICATION|Exercise ASSIGNMENT -5|1 Videos

  • SIMILARITY

    CHETAN PUBLICATION|Exercise ASSIGNMENT-1|12 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of equation x^(2)-4x+1=0 , find (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3)

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If alpha and beta are the roots of 2x^(2) – 3x -4 = 0 find the value of 2 alpha^(2)+ beta^(2)

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q (a)(alpha)/(beta)+(beta)/(alpha)