Question:
The number of roots common between the two equations $x^3 + 3x^2 + 4x + 5 = 0$ and $x^4 + 2x^3 + 7x + 3 = 0$ is:
The number of roots common between the two equations $x^3 + 3x^2 + 4x + 5 = 0$ and $x^4 + 2x^3 + 7x + 3 = 0$ is:
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When asked to find common roots between equations, solve both equations separately and check for overlapping solutions.
Updated On: Aug 1, 2025
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The Correct Option is A
Solution and Explanation
We are asked to find the number of common roots between the two equations:
\[
x^3 + 3x^2 + 4x + 5 = 0
\]
and
\[
x^4 + 2x^3 + 7x + 3 = 0
\]
By solving both equations (either graphically or algebraically), we find that they have no common roots.
Thus, the number of common roots is 0.
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