Question

Show that the equation 2x2 + x + 5 = 0 has no real roots. in quadratic equations chapter

Answer 1

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Answer 2

Answer:

Here the quadratic equation is 2x  

2

−3x+5=0

Comparing it with ax  

2

+bx+c=0, we get

a=2,b=−3,c=5

Therefore, discriminant, D=b  

2

−4ac

(−3)  

2

−4×2×5

=9−40

=−31

Here, D<0

Therefore the equation has no real roots.