find the root of the following quadratic equations. z^2-(✓2+1)yz-✓2=0
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Class 10
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>>Solutions of Quadratic Equations
>>Find the roots of the following quadrati
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Find the roots of the following quadratic equation by using the quadratic formula
2x
2
−2
2
x+1=0
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Correct option is B)
The quadratic equation is 2x
2
−2
2
x+1=0.
Comparing it with standard form of quadratic equation ax
2
+bx+c=0,we get a=2,b=−2
2
,c=1 Therefore the roots of the quadratic equation are,
x=
2a
−b±
b
2
−4ac
=
2×2
−(−2
2
)±
(−2
2
)
2
−4×2×1
=
4
(2
2
)±
8−8
=
4
2
2
±0
=
4
2
2
=
2
2
=
2
1
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