Solve for V_1
V_{1}=13
V_{1}=-13
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V_{1}^{2}-169=0\times 6\times 10\times 2\times 0\times 13
Multiply 13 and 13 to get 169.
V_{1}^{2}-169=0\times 10\times 2\times 0\times 13
Multiply 0 and 6 to get 0.
V_{1}^{2}-169=0\times 2\times 0\times 13
Multiply 0 and 10 to get 0.
V_{1}^{2}-169=0\times 0\times 13
Multiply 0 and 2 to get 0.
V_{1}^{2}-169=0\times 13
Multiply 0 and 0 to get 0.
V_{1}^{2}-169=0
Multiply 0 and 13 to get 0.
\left(V_{1}-13\right)\left(V_{1}+13\right)=0
Consider V_{1}^{2}-169. Rewrite V_{1}^{2}-169 as V_{1}^{2}-13^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
V_{1}=13 V_{1}=-13
To find equation solutions, solve V_{1}-13=0 and V_{1}+13=0.
V_{1}^{2}-169=0\times 6\times 10\times 2\times 0\times 13
Multiply 13 and 13 to get 169.
V_{1}^{2}-169=0\times 10\times 2\times 0\times 13
Multiply 0 and 6 to get 0.
V_{1}^{2}-169=0\times 2\times 0\times 13
Multiply 0 and 10 to get 0.
V_{1}^{2}-169=0\times 0\times 13
Multiply 0 and 2 to get 0.
V_{1}^{2}-169=0\times 13
Multiply 0 and 0 to get 0.
V_{1}^{2}-169=0
Multiply 0 and 13 to get 0.
V_{1}^{2}=169
Add 169 to both sides. Anything plus zero gives itself.
V_{1}=13 V_{1}=-13
Take the square root of both sides of the equation.
V_{1}^{2}-169=0\times 6\times 10\times 2\times 0\times 13
Multiply 13 and 13 to get 169.
V_{1}^{2}-169=0\times 10\times 2\times 0\times 13
Multiply 0 and 6 to get 0.
V_{1}^{2}-169=0\times 2\times 0\times 13
Multiply 0 and 10 to get 0.
V_{1}^{2}-169=0\times 0\times 13
Multiply 0 and 2 to get 0.
V_{1}^{2}-169=0\times 13
Multiply 0 and 0 to get 0.
V_{1}^{2}-169=0
Multiply 0 and 13 to get 0.
V_{1}=\frac{0±\sqrt{0^{2}-4\left(-169\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -169 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
V_{1}=\frac{0±\sqrt{-4\left(-169\right)}}{2}
Square 0.
V_{1}=\frac{0±\sqrt{676}}{2}
Multiply -4 times -169.
V_{1}=\frac{0±26}{2}
Take the square root of 676.
V_{1}=13
Now solve the equation V_{1}=\frac{0±26}{2} when ± is plus. Divide 26 by 2.
V_{1}=-13
Now solve the equation V_{1}=\frac{0±26}{2} when ± is minus. Divide -26 by 2.
V_{1}=13 V_{1}=-13
The equation is now solved.
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