Solve for x
x=4\sqrt{5}+7\approx 15.94427191
x=7-4\sqrt{5}\approx -1.94427191
Graph
Share
Copied to clipboard
x-7=4\sqrt{5} x-7=-4\sqrt{5}
Take the square root of both sides of the equation.
x-7-\left(-7\right)=4\sqrt{5}-\left(-7\right) x-7-\left(-7\right)=-4\sqrt{5}-\left(-7\right)
Add 7 to both sides of the equation.
x=4\sqrt{5}-\left(-7\right) x=-4\sqrt{5}-\left(-7\right)
Subtracting -7 from itself leaves 0.
x=4\sqrt{5}+7
Subtract -7 from 4\sqrt{5}.
x=7-4\sqrt{5}
Subtract -7 from -4\sqrt{5}.
x=4\sqrt{5}+7 x=7-4\sqrt{5}
The equation is now solved.
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}