Question

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

Answer 1

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

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