Solve q* q -424 = 375 q

Evaluate

q \times q - 424 = 375 q

Multiply the terms

q^{2} - 424 = 375 q

Move the expression to the left side

q^{2} - 424 - 375 q = 0

Rewrite in standard form

q^{2} - 375 q - 424 = 0

Substitute a= 1,b= - 375 and c= - 424 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{375 \pm ( - 375 ) ^{2} - 4 ( - 424 )}{2}

Simplify the expression

More Steps

q = \frac{375 \pm 37 5 ^{2} + 1696}{2}

Separate the equation into 2 possible cases

q = \frac{375 + 37 5 ^{2} + 1696}{2} q = \frac{375 - 37 5 ^{2} + 1696}{2}

Solution

q_{1} = \frac{375 - 37 5 ^{2} + 1696}{2}, q_{2} = \frac{375 + 37 5 ^{2} + 1696}{2}

Alternative Form

q_{1} \approx - 1.127278, q_{2} \approx 376.127278

Solve the quadratic equation