Question

Solve this @ineedhelplsss

Answer 1

`4^2(x+6)^2-6^2=4x-6+2x^2\ \ \ |use\ (a+b)^2=a^2+2ab+b^2\\\\16(x^2+12x+36)-36=4x-6+2x^2\\\\16x^2+192x+576-36=4x-6+2x^2\\\\16x^2-2x^2+192x-4x+540+6=0\\\\14x^2+188x+546=0\ \ \ \ |divide\ both\ sides\ by\ 2\\\\7x^2+94x+273=0\\\\a=7;\ b=94;\ c=273\\\Delta=b^2-4ac\to\Delta=94^2-4\cdot7\cdot273=8836-7644=1192 \ \textgreater \ 0\\\\x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\\\\\sqrt\Delta=√(1192)=√(4\cdot298)=\sqrt4\cdot√(298)=2√(289)`


`x_1=(-94-2√(298))/(2\cdot7)=(-47-√(298))/(7)\\\\x_2=(-94+2√(298))/(2\cdot7)=(-47+√(298))/(7)`