Solve 21 ( 2 - x) 12x = 44

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{21 - 2 91}{21}, x_{2} = \frac{21 + 2 91}{21}

Alternative Form

x_{1} \approx 0.091486, x_{2} \approx 1.908514

Evaluate

21 (2 - x) \times 12 x = 44

Multiply

More Steps

252 x (2 - x) = 44

Expand the expression

More Steps

504 x - 252 x^{2} = 44

Move the expression to the left side

504 x - 252 x^{2} - 44 = 0

Rewrite in standard form

- 252 x^{2} + 504 x - 44 = 0

Multiply both sides

252 x^{2} - 504 x + 44 = 0

Substitute a= 252,b= - 504 and c= 44 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{504 \pm ( - 504 ) ^{2} - 4 \times 252 \times 44}{2 \times 252}

Simplify the expression

x = \frac{504 \pm ( - 504 ) ^{2} - 4 \times 252 \times 44}{504}

Simplify the expression

More Steps

x = \frac{504 \pm 50 4 ^{2} - 44352}{504}

Simplify the radical expression

More Steps

x = \frac{504 \pm 48 91}{504}

Separate the equation into 2 possible cases

x = \frac{504 + 48 91}{504} x = \frac{504 - 48 91}{504}

Simplify the expression

More Steps

x = \frac{21 + 2 91}{21} x = \frac{504 - 48 91}{504}

Simplify the expression

More Steps

x = \frac{21 + 2 91}{21} x = \frac{21 - 2 91}{21}

Solution

x_{1} = \frac{21 - 2 91}{21}, x_{2} = \frac{21 + 2 91}{21}

Alternative Form

x_{1} \approx 0.091486, x_{2} \approx 1.908514

Show Solution