Question

Factor 4x squared-35x+4

Answer 1

`4x^2-35x+4\\\\a=4;\ b=-35;\ c=4\\\\\Delta=b^2-4ac\to\Delta=(-35)^2-4\cdot4\cdot4=1225-64=1161\\\\x=(-b\pm\sqrt\Delta)/(2a)\\\\\sqrt\Delta=√(1161)=√(9\cdot129)=3√(129)\\\\x=(-(-35)\pm3√(129))/(2\cdot4)=(35\pm3√(129))/(8)\\\\4x^2-35x+4=4\left(x-(35-3√(129))/(8)\right)\left(x-(35+3√(129))/(8)\right)`