Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

√2x2 + 7x + 5√2 = 0

Given:

Comparing with standard quadratic equation ax2 + bx + c = 0



Discriminant D = b2 – 4ac



= 49 – 40 = 9 > 0


Hence the roots of equation are real.


Roots are given by





Hence the roots of equation are


9