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# What is the Nature of Roots of the Quadratic Equation 4x2 − 12x − 9 = 0? - CBSE Class 10 - Mathematics

#### Question

What is the nature of roots of the quadratic equation 4x2 − 12x − 9 = 0?

#### Solution

The given quadric equation is 4x2 − 12x − 9 = 0

Here, a = 4, b = -12 and, c = -9

As we know that D = b^2 - 4ac

Putting the value of

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

(-12)^2 - 4 xx 4 xx -9

= 144 + 144

= 288

Since, D ≥ 0

Therefore, root of the given equation are real and distinct .

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Solution What is the Nature of Roots of the Quadratic Equation 4x2 − 12x − 9 = 0? Concept: Nature of Roots.
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