• If p and q are the roots of the quadratic
equation x2 + px -q=0, then find the values
of p and q.
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Given:
The Quadratic Equation is: x² + px - q = 0
The roots of the equation are: p and q
To find:
The value of p and q.
Solution:
We know that the standard form of a Quadratic Equation is:
ax² + bx + c = 0
Sum of roots = -b/a
Product of roots = c/a
On comparing with the given quadratic equation we get:
sum of roots: p+q = -p
Product of roots: pq = -q
On solving we get: p = -1 and q=2
Hence the values of p and q is -1 and 2 respectively.
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