Question

1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square:
(iv) 2x² + x +4= 0​

Answer 1

Answer:

Hi there, here we have.

Now we need to see if the equation has solutions.

Formulae:

$b^2-4ac>0$ = Two real roots exists

$b^2-4ac=0$ = Two equal roots exists

$b^2-4ac<0$ = No real roots exists

So here, b = 1, a = 2, c = 4,

$b^2-4ac = (1)^2-4*2*8$

=>  $1 - 64$

=>  $-63$

So,  $b^2-4ac < 0$

So the quadratic equation does not have real roots.

Hope this helps.

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All the best for the upcoming exams.