Maths-
General
Easy
Question
If α,β then the equation with roots will be
-
-
-
- none of these
Hint:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. Here we have to find the value of if α,β are roots of the equation.
The correct answer is:
A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It takes the following form:
ax² + bx + c = 0
where a, b, and c are constant terms and x is the unknown variable.
Now we have given the equation as:
Here, a=1, b=−3 and c=1
Now we have the sum of roots as α+β=-(-3)/1=3
product of roots as α.β=1/1=1
Adding the terms, we get :
Here we used the concept of quadratic equations and solved the problem. We found the sum and product of the roots first and then proceeded for the final answer. Therefore, will be the equation for the roots .
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