Consider the equation ax^2 + bx = 25. For what values of a and b would you solve this equation by taking a square root? For what values of a would the square root result in an imaginary number? Complete the explanation.

The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.