If p and q are Zeroes of Polynomial f(x)=2x²-7x+3 Find the Value of p²+q²
By BYJU'S Exam Prep
Updated on: October 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.
Table of content
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.
Answer:
If p and q are Zeroes of Polynomial f(x)=2x²-7x+3, Then the Value of p²+q² is 37/4
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