find the description of the equation x2-3✓3x-30=0 and describe the nature of the roots
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Answer:
The discriminant is defined as \(\Delta ={b}^{2}-4ac\). This is the expression under the square root in the quadratic formula. The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary.
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Answer:
Roots are real and distinct.
Step-by-step explanation:
If D > 0, roots are real and distinct.
If D = 0, roots are real and equal.
If D < 0, roots are imaginary and distinct.
Equation ---> x² - 3√3x - 30 = 0
D = b² - 4ac
=> (3√3)² - 4(1)(-30)
=> 27 + 120 => 149
As D = 149 > 0, roots are real and distinct.
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