X²-2x+4=0 find the nature of quadratic equations
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The discriminant (EMBFQ)
This is the expression under the square root in the quadratic formula. The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary.
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x^2-2x+4
a=1 b=-2 c=4
D= b^2-4ac
=(-2)^2-4(1)(4)
=4-4
=0
As D is equal to 0
Therefore the above equation has equal and real roots.
Hope this helps you.
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