1. This is a quadratic equation, so you want to factor it.
[tex] {x}^{2} - 14x + 45 = 0[/tex]
When factoring this quadratic, you want to know what are factors of 45 that add up to -14. So, a factor of 45 that adds up -14 could be -9 and -5. With this you use this layout (x+_)(x+_)=0 , and fill in the blanks with the 2 factors you have. That would look like
[tex](x - 9)(x - 5) = 0[/tex]
Now, solve for each individual x value. (x-9)=0 and (x-5)=0. The answers would be x=9 and 5. Use this to answer the other quadratics
