Question

find the discriminant of 3 square root 3 x square + 2 square root 2x = 2 square root 3 = 0 ​

Answer 1

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3
​
x
2
− 2
2
​
x − 2
3
​
= 0
Multiplying the equation throughout by
3
​
,
3x
2
− 2×
3
​
×
2
​
×x − 6 = 0
(
3
​
x)
2
− 2×
3
​
x×
2
​
+ (
2
​
)
2
− (
2
​
)
2
− 6 = 0
(
3
​
x−
2
​
)
2
− 2 − 6 = 0
(
3
​
x−
2
​
)
2
= 8
(
3
​
x−
2
​
) = 8
Or,
(
3
​
x−
2
​
) = −8

Therefore,

x =
3
​

(8+
2
​
)
​

Or,
x =
3
​

(−8+
2
​
)
​