
If are the zeros of the quadratic polynomial , show that .
Answer
532.8k+ views
Hint: We will be using the concept of quadratic equations to solve the problem. We will be using sum of roots and product of roots to further simplify the problem.
Complete Step-by-Step solution:
Now, we have been given are the zeros of the quadratic polynomial and we have to show that .
Now, to find this value we will be using the sum of roots and product of roots. We know that in a quadratic equation .
Therefore, in
Now, we have to show that,
So, we will take LHS and prove it to be equal to RHS.
In LHS we have,
Now, we will substitute the value of from (1) and (2). So, we have,
Therefore, we have,
Now, since we have LHS = RHS.
Hence Proved.
Note: To solve these types of questions one must know how to find the relation between sum of roots, product of roots and coefficient of quadratic equation.
Complete Step-by-Step solution:
Now, we have been given
Now, to find this value we will be using the sum of roots and product of roots. We know that in a quadratic equation
Therefore, in
Now, we have to show that,
So, we will take LHS and prove it to be equal to RHS.
In LHS we have,
Now, we will substitute the value of
Therefore, we have,
Now, since we have LHS = RHS.
Hence Proved.
Note: To solve these types of questions one must know how to find the relation between sum of roots, product of roots and coefficient of quadratic equation.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE
