Question

Find the nature of roots of following quadratic equations:
a. 2x2-x-6=0
b. 3x2-4V3 x +4=0
c. 2x2 +613-60=0
$please give me answer$
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Answer 1

Correct Question

Find the nature of roots of following quadratic equations:

a. 2x2-x-6=0

b. 3x2-43x +4=0

c. 2x2 +613x -60=0

Solution

→ D = b² - 4ac

a. D = (- 1)² - 4(2)(- 6)

→ 49 > 0 or D > 0

Hence roots are real and distinct.

b. D = (- 43)² - 4(3)(4)

→ 1849 - 48 = 1801 > 0

Or D > 0

Hence roots are real and distinct.

c. D = (613)² - 4(2)(- 60)

→ 375769 + 480

→ 376,249 > 0

Or D > 0

Hence roots are real and distinct.