# If p and q are Zeroes of Polynomial f(x)=2x²-7x+3 Find the Value of p²+q²

By Mohit Uniyal|Updated : May 17th, 2023

If p and q are zeroes of polynomial f(x)=2x²-7x+3 find the value of p²+q²

Quick steps to find the value of p²+q² are:

Step 1: Find out the zeros of the f(x)=2x²-7x+3 and put in the values or just use the sum and product of zeros formulas to put in p² + q² = (p + q)² - 2pq

Step 2: Simplify and get the desired result.

## If p and q are Zeroes of Polynomial f(x)=2x²-7x+3 Find the Value of p²+q²

Solution:

To find the value of p² + q², we need to substitute the zeros of the polynomial f(x) = 2x² - 7x + 3 into the expression.

Let's denote p and q as the zeros of f(x).

Therefore, we have p + q = 7/2 and pq = 3/2

Now, we can calculate p² + q²:

p² + q² = (p + q)² - 2pq

Substituting the values we know:

= (7/2)² - 2(3/2) = (49/4) - 6/2 = (49/4) - 3 = 49/4 - 12/4 = 37/4

Therefore, the value of p² + q² is 37/4. GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com