In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was 

If α and β are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are α³/β² and β³/α²?

What are the roots of the quadratic equations?

  $$(x^2 + 3x - 154 = 0)$$

If the difference between the roots of the equation Ax²+BX+C = 0 is 4, then which of the following is TRUE?

What are the roots of the equation log₁₀(x²-6x+45) =2?

α and β  is two root of a equations $$2x^2-7x+ 12=0 $$ then the value of $$ {α \over β }  + {β \over α }=? $$

If α and β are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and α⁵ and β⁵ ? 

In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out  the second root of equation.