Solve the equation 20y2−77y+72=0

Sure, let's solve the quadratic equation step by step.

The quadratic equation is in the form of ax^2 + bx + c = 0. Here, a = 20, b = -77, and c = 72.

Step 1: Calculate the discriminant. The discriminant is given by the formula D = b^2 - 4ac.

D = (-77)^2 - 42072 D = 5929 - 5760 D = 169

Step 2: Find the square root of the discriminant. √D = √169 = 13.

Step 3: Use the quadratic formula to find the roots of the equation. The quadratic formula is given by x = [-b ± sqrt(D)] / 2a.

So, the roots of the equation are:

y1 = [77 + 13] / (220) = 90 / 40 = 2.25 y2 = [77 - 13] / (220) = 64 / 40 = 1.6

So, the solutions to the equation 20y^2 - 77y + 72 = 0 are y = 2.25 and y = 1.6.