Which of the following is the value of the discriminant 2x²+5√3x +6 =0 ( 5√3 means five squareroot three) *
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Answer:
The value of discriminate is 27.
Step-by-step explanation:
Given :-
Quadratic polynomial ; 2x² + 5√3x + 6 = 0
To Find :-
The value of discriminate.
Solution :-
Given, 2x² + 5√3x + 6 = 0
On comparing with ax² + bx + c = 0 , We get ;
⟶ a = 2 , b = 5√3 , c = 6
Let, discriminate be "D".
As we know that,
\red\bigstar★ Discriminate = b² - 4c
[ Put the values ]
⟶ D = (5√3)² - 4 × 2 × 6
⟶ D = 25 × 3 - 8 × 6
⟶ D = 75 - 48
⟶ D = 27 \green\bigstar★
Therefore,
The value of discriminate is 27.
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