Question

Solve x squared + one-half x + one-sixteenth = four-ninths.

Answer 1

Explanation:

`x^2+(1)/(2)x+(1)/(16)=(4)/(9)\\x^2+(1)/(2)x+((1)/(4))^2=((2)/(3))^2\\(x+(1)/(4))^2=((2)/(3))^2\\`

`x+(1)/(4)=\pm (2)/(3)\\either~x+(1)/(4)=(2)/(3)\\x=(2)/(3)-(1)/(4)\\x=(8-3)/(12)\\`

`x=(5)/(12)\\or~x=-(2)/(3)-(1)/(4)\\x=-(8+3)/(12)\\`

x=-\frac{11}{12}