MaxWong

\(x^2+124=0\\ x^2=-124\\ x=\pm\sqrt{-124}\\ \;\;=\pm 2i\sqrt{31}\\ \therefore x=2i\sqrt{31}\text{ OR }x=-2i\sqrt{31}\)

Look at your first post.

If you like it I can copy it here.

\((1+35\%)b=(1-10\%)g\\ \dfrac{b}{g}=\dfrac{(1-10\%)}{(1+35\%)}=\dfrac{0.9}{1.35}=\dfrac{2}{3}\\ \therefore b:g = 2:3\)

Sorry wrong equation.

\((1+35\%)b=(1-10\%)g\\ \dfrac{b}{g}=\dfrac{(1-10\%)}{(1+35\%)}=\dfrac{0.9}{1.35}=\dfrac{2}{3}\\ \therefore b:g = 2:3\)

Same steps as the wrong equation. My mistake is just turned 1-10% into 1+10%.

Let b be the number of boys and g be the number of girls originally.

\((1+35\%)b=(1+10\%)g\\ \dfrac{b}{g}=\dfrac{(1+10\%)}{(1+35\%)}=\dfrac{1.1}{1.35}=\dfrac{22}{27}\\ \therefore b:g = 22:27\)

I divided (1+35%)g on each side of Step 1 so I get step 2. Then I simplify the fraction on the right hand side of the equal sign to make the numerator and denominator both integers. Then I used the definition of ratio to get the conclusion.

The definition: \(x:y = \dfrac{x}{y}\)

\((-1)(-2)(-3)(-3)\\ = -1(-1)(-1)(-1)(2)(3)(3)\\ = 2(3)^2\\ = 18\)

Same as Geno's answer.

\(V=3.14r^2h\\ h=\frac{V}{3.14r^2}\)<- divide by 3.14r^2

One-step. Straight forward. Same as Omi67's answer.

Hello Alice. Nice to see you on the Forum!! :D

~Max.

5x - 7.2 = 3.1

5x = 10.3

x = 2.06

642 + 33 = 675.

\(\frac{40}{17}\\ = \frac{34 + 6}{17}\\ = \frac{34}{17}+\frac{6}{17}\\ = 2+\frac{6}{17}\\ = 2\frac{6}{17}\)