Step-by-step explanation:1.x²+4x =1x²+4x+4=1+4√(x+2)²=√5x+2=√5x=-2+√52.x²+6x=-4x²+6x+9=-4+9√(x+3)²=√5x+3=√5x=-3+√53.x²+8x=5x²+8x+16=5+16√(x+4)²=√21x=-4+√214.x²-10x=-7x²-10x+25=-7+25√(x-5)²=√18x-5=3√2x=5+3√25.x²+3x=6x²+3/2x+9/4= 6/1+9/4√(x+3/2)²=√33/4x+3/2=√33/2x=√33/2-3/2x=2+(√33)-3 x=-2+√33