w^2-2√2w +3. ( solve this using quadratic equations formula)
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Answer:
Step-by-step explanation:
Given equation is x
2
−3
5x
+10=0
We know that
Roots of quadratic equation ax
2
+bx+c=0 are given by
x=
2a
−b±
b
2
−4ac
or x=
2a
−b±
D
∴D=b
2
−4ac
⇒D=(−3
5
)
2
−4(1)(10)
⇒D=45−40=5
⇒
D
=
5
Now, x=
2a
−b±
D
⇒x=
2
3
5
±
5
⇒x
1
=
2
3
5
+
5
and x
2
=
2
3
5
−
5
⇒x
1
=
2
4
5
and x
2
=
2
2
5
⇒x
1
=2
5
and x
2
=
5
Hence, the roots of the given equation are 2
5
and
5
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