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Maths TNSB Mentoring
Class 10
Algebra
Nature of roots and relation between roots and coefficients of quadratic equation
6.
Find the quadratic equations for the given roots
Question:
5
m.
If \(\alpha\) and \(\beta\) are the roots of the equation
x
2
-10
x
+
21
=
0
, then find the quadratic equation whose roots are \(\alpha \beta^2\) and \(\beta \alpha^2\).
The equation is
\(x² + 210 x + 9261 = 0\)
\(x² - 210 x - 9261 = 0\)
\(x² + 210 x - 9261 = 0\)
\(x² -210 x + 9261 = 0\)
.
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