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Subjects
Mathematics State Board
Class 10
Algebra
Nature of roots and relation between roots and coefficients of quadratic equation
19.
Five mark example problem V
Exercise condition:
15
m.
Answer variants:
2
x
2
−
3
x
=
0
8
x
2
+
2
x
−
1
=
0
x
2
+
x
−
2
=
0
If
\alpha
,
\beta
are the roots of the equation
2x^2 - x - 1 = 0
, then form the equation whose roots are:
S.No
Roots
Equation
(i)
\frac{1}{\alpha}
,
\frac{1}{\beta}
(ii)
\alpha^2 \beta
,
\beta^2 \alpha
(iii)
2\alpha + \beta
,
2\beta + \alpha
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