Q5 of 83 Page 85

Solve the following equations using the general formula:

x2 + 10x + 6 = 0

Comparing equation x2 + 10x + 6 = 0 with ax2 + bx + c = 0 we get


a = 1, b = 10 and c = 6


Discriminant (D) = b2 – 4ac


⇒ D = 102 – 4(1)(6)


⇒ D = 100 – 24


⇒ D = 76


D > 0 implies roots are real and distinct and given by






Therefore x = – 5 + √19 and x = – 5 – √19


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