what in solve 2x²=16
Answer (1)
x = 2√2We are asked to solve the following equation:[tex]\sf 2x^2=16[/tex]The first step is to divide both sides by 2.[tex]\sf x^2=8[/tex]Next, we should take the square root of both sides.[tex]\sf x=\sqrt{8}[/tex]This can be simplified.Rewrite 8 as 4*2:[tex]\sf x=\sqrt{4*2}[/tex]Rewrite this as two separate square roots:[tex]\sf x=\sqrt{4}*\sqrt{2}[/tex]Take the square root of 4:[tex]\sf x=2*\sqrt{2}[/tex]Simplify:[tex]\sf x=2\sqrt2[/tex]
