Question

What is the answer for;a. 7×6b. √729c. |x+3|=2x+5

Answer 1

$a.\ 7\times6=42\\\\b.\ \sqrt{729}=27\ \text{because}\ 27^2=729$

$c.\ |x+3|=2x+5\\\\|x+3|=\left\{\begin{array}{ccc}x+3&for&x\geq-3\\-x-3&for&x < -3\end{array}\right\\\\(1)\ x < -3\to x\in(-\infty;\ -3)\\\\-x-3=2x+5\ \ \ |+3\\\\-x=2x+8\ \ \ |-2x\\\\-3x=8\ \ \ \ |:(-3)\\\\x=-\dfrac{8}{3}\\\\x=-2\dfrac{2}{3}\notin(-\infty;\ -3)\\\\(2)\ x\geq-3\to x\in\left$