Quadratic Equations — Engineering Board Exam Practice Questions

10 free engineering board exam reviewer questions on Quadratic Equations (Algebra), each with the correct answer and a worked solution.

1. Find the sum of all real solutions of sqrt(2x-1)-sqrt(x-1)=1.
2. If one root of ax2+bx+c=0 is twice the other, which relation among the coefficients must hold?
3. A ball is thrown upward and its height is h=40t-5t2 meters after t seconds. At what time is it 60 m high while coming down?
4. A rectangular garden has a perimeter of 60 m and an area of 216 m2. Find the length of its longer side.
5. Solve x4-13x2+36=0.
6. Find the quadratic equation whose roots are 23 and - 34.
7. For what values of k does x2+kx+16=0 have equal roots?
8. If and are the roots of 3x2-7x+2=0, find 2+ 2.
9. Find the discriminant of 2x2-3x+5=0.
10. Solve x2-5x-14=0.