Solve 850x^2 - 350x -908 = 0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{35 - 32097}{170}, x_{2} = \frac{35 + 32097}{170}

Alternative Form

x_{1} \approx - 0.847979, x_{2} \approx 1.259743

Evaluate

850 x^{2} - 350 x - 908 = 0

Substitute a= 850,b= - 350 and c= - 908 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{350 \pm ( - 350 ) ^{2} - 4 \times 850 ( - 908 )}{2 \times 850}

Simplify the expression

x = \frac{350 \pm ( - 350 ) ^{2} - 4 \times 850 ( - 908 )}{1700}

Simplify the expression

More Steps

x = \frac{350 \pm 35 0 ^{2} + 3087200}{1700}

Simplify the radical expression

More Steps

x = \frac{350 \pm 10 32097}{1700}

Separate the equation into 2 possible cases

x = \frac{350 + 10 32097}{1700} x = \frac{350 - 10 32097}{1700}

Simplify the expression

More Steps

x = \frac{35 + 32097}{170} x = \frac{350 - 10 32097}{1700}

Simplify the expression

More Steps

x = \frac{35 + 32097}{170} x = \frac{35 - 32097}{170}

Solution

x_{1} = \frac{35 - 32097}{170}, x_{2} = \frac{35 + 32097}{170}

Alternative Form

x_{1} \approx - 0.847979, x_{2} \approx 1.259743

Show Solution