Quadratic Equation Questions and Answers

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 ? 

If one root of the equation is two and a half times the others, then which of the following is True?

Factor of  is__

and is a quadratic equation with roots.

If x₁ and x₂ are the roots of the equations bx²-ax + log₂m^y=0 such that x₁²=a²+x₂² then evaluate the roots in terms of a and b.

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women, and 10 children work together, in how many days can the work be completed?

If a : 5 = b : 7 = c : 8, then (a + b + c)/a is equal to

(Smallest common multiple of 36 and 60) ÷ (Biggest common factor of 18 and 45) is equal to?

Express 15625 as a power of 5?

In equation the first root is x=2 then find out  the second root of equation.