Discriminant of x square -4x +4 is equal to 0
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The discriminant of the given quadratic equation = - 31 and the quadratic equation has no real roots.
Step-by-step explanation:
The given quadratic equation:
2x^2+x+4=02x
2
+x+4=0
Here, a = 2, b = 1 and c = 4
To find, the discriminant of the given quadratic equation = ? and
The nature of ithe roots of quadratic equation = ?
∴ Discriminant, D = b^{2}b
2
- 4ac
= 1^{2}1
2
- 4(2)(4)
= 1 - 32
= - 31
∵ D < 0, There is no real roots of quadratic equation.
Thus, the discriminant of the given quadratic equation = - 31 and the quadratic equation has no real roots
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