Question

(v) Determine the nature of the roots for the quadratic equation :
√3x² + √2x - 2√3 = 0.
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Answer 1

Answer:

Above is your answer.

Step-by-step explanation:

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Answer 2

Real and distinct roots

Step-by-step explanation:

√3x²+√2x-2√3 = 0

To determine the nature of the roots, we need to find the value of the Discriminant, b²-4ac

If discriminant = 0, the roots are equal

discriminant > 0, the roots are real and distinct

discriminant < 0, no real roots exist

Let's find the discriminant for the given equation

here a = √3, b =√2 and c = 2√3

b²-4ac = (√2)² - 4×√3×-2√3

= 2 + 24 = 26

Hence the equation has real and distinct roots.