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Maths TNSB Mentoring
Class 10
Algebra
Nature of roots and relation between roots and coefficients of quadratic equation
5.
TBQ - Find the quadratic equation
Question:
4
m.
The roots of the equation \(x^2 + 6x - 4 = 0\) are \(\alpha\), \(\beta\). Find the quadratic equation whose roots are:
S.No
Roots
Equation
(i)
\(\frac{2}{\alpha}\) and \(\frac{2}{\beta}\)
(ii)
\(\alpha^2 \beta\) and \(\beta^2 \alpha\)
Answer variants:
x
2
−
3
x
−
1
=
0
x
2
−
44
x
+
16
=
0
x
2
−
24
x
−
64
=
0
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