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

asked Sep 17, 2024 101k views

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Answer:

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}

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