posted by emms .
solve a perfect square trinomial equation.
Rewrite it by multiplying it out, and factor.
4x^2 + 17x -45 = 0.
I don't see any "perfect square" here.
It also does not factor easily. Use the quadratic equation.
x = [-17 +/- sqrt(1009)]/8
x = 1.846 is one of the two solutions