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Write the Discriminant of the Following Quadratic Equations: X2 + 2x + 4 = 0 - Mathematics

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Question

Write the discriminant of the following quadratic equations:

x2 + 2x + 4 = 0

Solution

We have been given, x2 + 2x + 4 = 0

Now we also know that for an equation ax2 + bx + c = 0 , the discriminant is given by the following equation:

D = b2 - 4ac

Now, according to the equation given to us, we have,a = 1, b = 2 and c = 4.

Therefore, the discriminant is given as,

D = (2)2 - 4(1)(4)

= 4 - 16

= -12

Therefore, the discriminant of the equation is -12.

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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.5 | Q: 1.2 | Page no. 32
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.5 | Q: 1.2 | Page no. 32
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Write the Discriminant of the Following Quadratic Equations: X2 + 2x + 4 = 0 Concept: Relationship Between Discriminant and Nature of Roots.
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