Solve for b
b=\frac{x^{2}-9}{24}
Solve for x (complex solution)
x=-\sqrt{24b+9}
x=\sqrt{24b+9}
Solve for x
x=\sqrt{24b+9}
x=-\sqrt{24b+9}\text{, }b\geq -\frac{3}{8}
Graph
Share
Copied to clipboard
-24b-9=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-24b=-x^{2}+9
Add 9 to both sides.
-24b=9-x^{2}
The equation is in standard form.
\frac{-24b}{-24}=\frac{9-x^{2}}{-24}
Divide both sides by -24.
b=\frac{9-x^{2}}{-24}
Dividing by -24 undoes the multiplication by -24.
b=\frac{x^{2}}{24}-\frac{3}{8}
Divide -x^{2}+9 by -24.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}