Solve 7v^2 - 92 = 635v

Evaluate

7 v^{2} - 92 = 635 v

Move the expression to the left side

7 v^{2} - 92 - 635 v = 0

Rewrite in standard form

7 v^{2} - 635 v - 92 = 0

Substitute a= 7,b= - 635 and c= - 92 into the quadratic formula v = \frac{- b \pm b ^{2} - 4 a c}{2 a}

v = \frac{635 \pm ( - 635 ) ^{2} - 4 \times 7 ( - 92 )}{2 \times 7}

Simplify the expression

v = \frac{635 \pm ( - 635 ) ^{2} - 4 \times 7 ( - 92 )}{14}

Simplify the expression

More Steps

v = \frac{635 \pm 63 5 ^{2} + 2576}{14}

Separate the equation into 2 possible cases

v = \frac{635 + 63 5 ^{2} + 2576}{14} v = \frac{635 - 63 5 ^{2} + 2576}{14}

Solution

v_{1} = \frac{635 - 63 5 ^{2} + 2576}{14}, v_{2} = \frac{635 + 63 5 ^{2} + 2576}{14}

Alternative Form

v_{1} \approx - 0.144651, v_{2} \approx 90.858937

Solve the quadratic equation