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-10=-14v*14v
We move all terms to the left:
-10-(-14v*14v)=0
We get rid of parentheses
14v*14v-10=0
Wy multiply elements
196v^2-10=0
a = 196; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·196·(-10)
Δ = 7840
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7840}=\sqrt{784*10}=\sqrt{784}*\sqrt{10}=28\sqrt{10}$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{10}}{2*196}=\frac{0-28\sqrt{10}}{392} =-\frac{28\sqrt{10}}{392} =-\frac{\sqrt{10}}{14} $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{10}}{2*196}=\frac{0+28\sqrt{10}}{392} =\frac{28\sqrt{10}}{392} =\frac{\sqrt{10}}{14} $
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