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Solve the Quadratic Equation by Using Any Method 194x2+14x=34\frac { 19 } { 4 } x ^ { 2 } + 14 x = \frac { 3 } { 4 }

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Solve the quadratic equation by using any method. 194x2+14x=34\frac { 19 } { 4 } x ^ { 2 } + 14 x = \frac { 3 } { 4 }

Use arithmetic sequence formulas to find specific terms and sums.
Use geometric sequence formulas to find specific terms and partial sums.
Apply sigma notation for expressing sums.
Translate recursive sequence definitions into explicit formulas.

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