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Determine Whether the Given Quadratic Equations Have Equal Roots and If So, Find the Roots: X2 + 2x + 4 = 0 - Mathematics

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Question

Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 2x + 4 = 0

Sum

Solution

The given quadratic equation is
x2 + 2x + 4 = 0
Here, a = 1, b = 2 and c = 4
Descriminant
= b2 - 4ac
= (2)2 - 4 x 1 x 4
= 4 - 16
= -12 < 0
Hence, the given equation has no real roots.

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Chapter 6: Quadratic Equation - Exercise 1

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ICSE Mathematics [English] Class 10
Chapter 6 Quadratic Equation
Exercise 1 | Q 64.2
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