Answer:
[tex]x = \frac{3}{2} \: or \: 1.5[/tex]
Step-by-step explanation:
[tex]225 - 100 {x}^{2} = 0 \\ 225 = 100 {x}^{2} [/tex]
Divide both sides of the equation by 100
[tex] \frac{225}{100} = \frac{100 {x}^{2} }{100} [/tex]
Simplify
[tex] \frac{9}{4} = {x}^{2} [/tex]
Square root both sides
[tex] \sqrt{ \frac{9}{4} } = \sqrt{ {x}^{2} } \\ \frac{3}{2} = x \\ x = \frac{3}{2} \: or \: 1.5[/tex]
