Question

Find the discriminant and the number of real roots for this equation.

Answer 1

Our discriminant is 0 so, $4x^2 + 12x + 9 = 0$ has one real root.

Option C is correct.

Step-by-step explanation:

we need to find the discriminant and the number of real roots for the following equation:

$4x^2 + 12x + 9 = 0$

The discriminant is found by using square root part of quadratic formula:

$b^2-4ac$

where b =12, a=4 and c=9

Putting values:

$=b^2-4ac\\=(12)^2-4(4)(9)\\=144-144\\=0$

To find out the number of real roots using discriminant we have following rules:

• if discriminant b^2-4ac >0 then 2 real roots
• if discriminant b^2-4ac =0 then 1 real root
• if discriminant b^2-4ac <0 then no real roots

Since our discriminant b^2-4ac is 0 so, $4x^2 + 12x + 9 = 0$ has one real root.

Option C is correct.

Keywords: discriminant

Learn more about discriminant at:

• brainly.com/question/8196933
• brainly.com/question/9328925
• brainly.com/question/4853862

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