find quadratic polynomial whose zeroes are root 3 , minus root 3​

Question

find quadratic polynomial whose zeroes are root 3 , minus root 3​

in progress 0
Adalyn 3 months 2021-07-19T21:54:49+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-19T21:55:54+00:00

    Solution

    Given:

    • Roots of quadratic equations = √3 , -√3

    Find :

    • quadratic Equation

    Explanation

    Let,

    • Roots are p & q

    First Calculate sum of roots

    ==> Sum of roots = p + q

    ==> p + q = √3 + (-√3)

    ==> p + q = 0

    Now, calculate product of roots

    ==> product of roots= p.q

    ==> p.q = √3 × (-√3)

    ==> p.q = -3

    Formula of Equation

    \boxed{\underline{\tt{\red{\:(x^2-(p+q)x+(p.q)\:=\:0}}}}

    Keep all above Values,

    ==> x² – (0)x + (-3) = 0

    ==> x² – 3 = 0

    Hence

    • Quadratic Equation will be = x² – 3 = 0

    __________________

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )