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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