SOLVING QUADRATIC EQUATIONS BY EXTRACTING SQUARE ROOTS
[tex]4 x^{2} -225=0[/tex]
[tex] \sqrt{4x^2}= \sqrt{225} [/tex]
[tex] \frac{2x}{2}= \frac{15}{2} [/tex]
[tex]x= +or- \frac{15}{2} [/tex]
[tex] \left \{ {{x= \frac{15}{2} } \atop {x= \frac{-15}{2} }} \right. [/tex]
[tex](s-4)^2-81=0[/tex]
[tex] \sqrt{(s-4)^2}= \sqrt{81} [/tex]
[tex]s-4= +or-9[/tex]
[tex]s=4+9[/tex]
[tex]s=13[/tex]
[tex]s=4-9[/tex]
[tex]s=-5[/tex]
[tex] \left \{ {{s=13} \atop {s=-5}} \right. [/tex]
[tex](x-7)^2=289[/tex]
[tex] \sqrt{(x-7)^2}= \sqrt{289} [/tex]
[tex]x-7=+or-17[/tex]
[tex]x=7+17[/tex]
[tex]x=24[/tex]
[tex]x=7-17[/tex]
[tex]x=-10[/tex]
[tex] \left \{ {{x=24} \atop {x=-10}} \right. [/tex]
SOLVING QUADRATIC EQUATIONS BY FACTORING
[tex]3 x^{2} -5x=2[/tex]
[tex]3 x^{2} -5x-2=0[/tex]
[tex](3x+1)(x-2)=0[/tex]
[tex]3x+1=0[/tex]
[tex]x-2=0[/tex]
[tex] \frac{3x}{3}= \frac{-1}{3} [/tex]
[tex]x=2[/tex]
[tex] \left \{ {{x= \frac{-1}{3} } \atop {x=2}} \right. [/tex]
[tex]8 x^{2} -2x-1=0[/tex]
[tex](2x-1)(4x+1)=0[/tex]
[tex]2x-1=0[/tex]
[tex]4x+1=0[/tex]
[tex] \frac{2x}{2}= \frac{1}{2} [/tex]
[tex] \frac{4x}{4}= \frac{-1}{4} [/tex]
[tex] \left \{ {{x= \frac{1}{2} } \atop {x= \frac{-1}{4} }} \right. [/tex]
[tex]y^2-16=0[/tex]
[tex](y-4)(y+4)=0[/tex]
[tex]y-4=0[/tex]
[tex]y+4=0[/tex]
[tex] \left \{ {{y=4} \atop {y=-4}} \right. [/tex]
P.S. I hope I wasn't late, it's kinda long so,yeah... I hope I helped. ^_^ \/
