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Without Actually Determining the Roots Comment Upon the Nature of the Roots of Each of the Following Equations: X2 - 4x + 1 = 0 - Mathematics

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प्रश्न

Without actually determining the roots comment upon the nature of the roots of each of the following equations:
x2 - 4x + 1 = 0

योग

उत्तर

x2 - 4x + 1 = 0
Here, a = 1, b = -4 and c = 1
D = b2 - 4ac
⇒ 16 - 4 x 1 x 1
⇒ 16 - 4
= 12 > 0
The given equation has real roots.

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अध्याय 6: Quadratic Equation - Exercise 1

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आईसीएसई Mathematics [English] Class 10
अध्याय 6 Quadratic Equation
Exercise 1 | Q 38.5
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