Solve 39b-20b 16b-26

Evaluate

39 b - 20 b \times 16 b - 26

To find the roots of the expression,set the expression equal to 0

39 b - 20 b \times 16 b - 26 = 0

Multiply

More Steps

39 b - 320 b^{2} - 26 = 0

Rewrite in standard form

- 320 b^{2} + 39 b - 26 = 0

Multiply both sides

320 b^{2} - 39 b + 26 = 0

Substitute a= 320,b= - 39 and c= 26 into the quadratic formula b = \frac{- b \pm b ^{2} - 4 a c}{2 a}

b = \frac{39 \pm ( - 39 ) ^{2} - 4 \times 320 \times 26}{2 \times 320}

Simplify the expression

b = \frac{39 \pm ( - 39 ) ^{2} - 4 \times 320 \times 26}{640}

Simplify the expression

More Steps

b = \frac{39 \pm - 31759}{640}

Simplify the radical expression

More Steps

b = \frac{39 \pm 31759 \times i}{640}

Separate the equation into 2 possible cases

b = \frac{39 + 31759 \times i}{640} b = \frac{39 - 31759 \times i}{640}

Simplify the expression

b = \frac{39}{640} + \frac{31759}{640} i b = \frac{39 - 31759 \times i}{640}

Simplify the expression

b = \frac{39}{640} + \frac{31759}{640} i b = \frac{39}{640} - \frac{31759}{640} i

Solution

b_{1} = \frac{39}{640} - \frac{31759}{640} i, b_{2} = \frac{39}{640} + \frac{31759}{640} i

Alternative Form

b_{1} \approx 0.0609375 - 0.278454 i, b_{2} \approx 0.0609375 + 0.278454 i

Simplify the expression