what are the roots of the equation 4t^2 − 14t + 10

Question

I need help on this. I have a hard time doing math.

Answer 1

First simplify the expression:

2(2t²-7t+5). All we need now are the roots (zeroes) of 2t²-7t+5, which is now easier to factorise:

(2t-5)(t-1). The roots are when either 2t-5=0 or t-1=0, Solve these two equations for t:

2t-5=0, 2t=5, t=5/2; or t-1=0, t=1. These are the roots: t=5/2 or 1.