Skip to main content
Solve for x
Tick mark Image
Graph

Similar Problems from Web Search

Share

676=10^{2}+x^{2}
Calculate 26 to the power of 2 and get 676.
676=100+x^{2}
Calculate 10 to the power of 2 and get 100.
100+x^{2}=676
Swap sides so that all variable terms are on the left hand side.
100+x^{2}-676=0
Subtract 676 from both sides.
-576+x^{2}=0
Subtract 676 from 100 to get -576.
\left(x-24\right)\left(x+24\right)=0
Consider -576+x^{2}. Rewrite -576+x^{2} as x^{2}-24^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x=24 x=-24
To find equation solutions, solve x-24=0 and x+24=0.
676=10^{2}+x^{2}
Calculate 26 to the power of 2 and get 676.
676=100+x^{2}
Calculate 10 to the power of 2 and get 100.
100+x^{2}=676
Swap sides so that all variable terms are on the left hand side.
x^{2}=676-100
Subtract 100 from both sides.
x^{2}=576
Subtract 100 from 676 to get 576.
x=24 x=-24
Take the square root of both sides of the equation.
676=10^{2}+x^{2}
Calculate 26 to the power of 2 and get 676.
676=100+x^{2}
Calculate 10 to the power of 2 and get 100.
100+x^{2}=676
Swap sides so that all variable terms are on the left hand side.
100+x^{2}-676=0
Subtract 676 from both sides.
-576+x^{2}=0
Subtract 676 from 100 to get -576.
x^{2}-576=0
Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.
x=\frac{0±\sqrt{0^{2}-4\left(-576\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -576 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-576\right)}}{2}
Square 0.
x=\frac{0±\sqrt{2304}}{2}
Multiply -4 times -576.
x=\frac{0±48}{2}
Take the square root of 2304.
x=24
Now solve the equation x=\frac{0±48}{2} when ± is plus. Divide 48 by 2.
x=-24
Now solve the equation x=\frac{0±48}{2} when ± is minus. Divide -48 by 2.
x=24 x=-24
The equation is now solved.