Solve (12x^2-19x)2-5(12x^2-19x)-50

Question

Simplify the expression

- 36 x^{2} + 57 x - 50

Show Solution

x_{1} = \frac{19}{24} - \frac{439}{24} i, x_{2} = \frac{19}{24} + \frac{439}{24} i

Alternative Form

x_{1} \approx 0.791 \dot{6} - 0.873014 i, x_{2} \approx 0.791 \dot{6} + 0.873014 i

Evaluate

(12 x^{2} - 19 x) \times 2 - 5 (12 x^{2} - 19 x) - 50

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

(12 x^{2} - 19 x) \times 2 - 5 (12 x^{2} - 19 x) - 50 = 0

Multiply the terms

2 (12 x^{2} - 19 x) - 5 (12 x^{2} - 19 x) - 50 = 0

Subtract the terms

More Steps

- 36 x^{2} + 57 x - 50 = 0

Multiply both sides

36 x^{2} - 57 x + 50 = 0

Substitute a= 36,b= - 57 and c= 50 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{57 \pm ( - 57 ) ^{2} - 4 \times 36 \times 50}{2 \times 36}

Simplify the expression

x = \frac{57 \pm ( - 57 ) ^{2} - 4 \times 36 \times 50}{72}

Simplify the expression

More Steps

x = \frac{57 \pm - 3951}{72}

Simplify the radical expression

More Steps

x = \frac{57 \pm 3 439 \times i}{72}

Separate the equation into 2 possible cases

x = \frac{57 + 3 439 \times i}{72} x = \frac{57 - 3 439 \times i}{72}

Simplify the expression

More Steps

x = \frac{19}{24} + \frac{439}{24} i x = \frac{57 - 3 439 \times i}{72}

Simplify the expression

More Steps

x = \frac{19}{24} + \frac{439}{24} i x = \frac{19}{24} - \frac{439}{24} i

Solution

x_{1} = \frac{19}{24} - \frac{439}{24} i, x_{2} = \frac{19}{24} + \frac{439}{24} i

Alternative Form

x_{1} \approx 0.791 \dot{6} - 0.873014 i, x_{2} \approx 0.791 \dot{6} + 0.873014 i

Show Solution