How many real solutions does the equation x⁷ + 14x⁵ + 16x³ + 30x - 560 = 0 have?

Limit, Continuity and Differentiability: JEE Main 2008 Mathematics question

JEE Main 2008 · Annual, Paper 1 · Q2705

JEE Main 2008Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

How many real solutions does the equation

{x^7} + 14{x^5} + 16{x^3} + 30x - 560 = 0

have?

JEE Main 2008 · Annual, Paper 1 · Q2705

JEE Main 2008Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

How many real solutions does the equation

{x^7} + 14{x^5} + 16{x^3} + 30x - 560 = 0

have?