Question

What is the nature of the roots of the quadratic equation 2x^2 - 3x - 4 = 0


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Answer 1

Answer:

Nature of roots : Real and distinct

Step-by-step explanation:

the discriminant of the quadratic equation

ax² + b x + c is given by ; D = b² - 4ac  

If D > 0 , then the roots are real and distinct .

If D = 0 , then the roots are real and equal  

If D < 0 , then no real roots

The given quadratic equation is ;

2x² + 3x - 4 = 0 .

Comparing with the general form of the quadratic equation ax² + bx + c = 0 , we have ;

a = 2 , b = 3 , c = -4

Now,

The discriminant of the given quadratic equation will be given as ;

=> D = b² - 4ac

=> D = 3² - 4×2×(-4)

=> D = 9 + 32

=> D = 41

=> D > 0