x = 8, x = -8We're asked to solve the following equation:[tex]\sf 4x^2-256=0[/tex]Add 256 to both sides.[tex]\sf 4x^2=256[/tex]Divide both sides by 4.[tex]\sf x^2=64[/tex]Take the square root of both sides.[tex]\sf x=8,x=-8[/tex]
Step-by-step explanation:4x² - 256 = 04x² = 256x² = 256/4x² = 64x = √64x = 8