State whether the following quadratic equations have two distinct real roots. Justify your answer,x²-3x+4=0
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Answer:
No it has no real roots
Step-by-step explanation:
We have, x^2 - 3x + 4 = 0
On comparing the above equation with ax^2+bx+c = 0
We get, a = 1 , b = -3 , c = 4
Now, D = b^2 - 4ac
= (-3)^2 - 4(1)(4)
= 9 - 16
D = -7
Since, D < 0
Therefore the given equation have no real roots .
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