discriminant of equation 2x2 +3 root 2x -4 =0
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Given quadratic equation is 2x² + 3√2 x - 4 = 0
Compare given equation with ax² + bx + c = 0 , we get ,
- a = 2 , b = 3√2 , c = -4
We know that discriminant is " b² - 4ac "
⇒ ( 3√2 )² - 4(2)(-4)
⇒ 18 + 32
⇒ 50
So discriminant of the equation 2x² + 3√2 x - 4 = 0 is " 50 "
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Answer:
50
Step-by-step explanation:
Given a quadratic equation such that,
2x^2 + 3√2x - 4 = 0
To find it's discriminant.
We know that,
For a quadratic equation ax^2 + bx + c = 0, it's discriminant is given by,
D = b^2 - 4ac
Here, on Comparing, we get,
- a = 2
- b = 3√2
- c = -4
Subatituting the values, we get,
=> D = {(3√2)^2 - 4(2)(-4)}
=> D = (18 + 32)
=> D = 50
Hence, required value of discriminant is 50
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